Fractions, Decimals & Percentages

Fractions, Decimals & Percentages: Mastering the Basics

Fractions, Decimals & Percentages: Mastering the Basics

Fractions, decimals, and percentages are fundamental concepts in mathematics that are widely used in everyday life, from calculating discounts during shopping to measuring ingredients in cooking. Understanding how to work with these forms of numbers is essential for academic success and practical decision-making.

Introduction

Fractions, decimals, and percentages are three different ways to represent parts of a whole. They are interrelated and can be converted from one form to another, making them versatile tools in various mathematical operations and real-life situations. Mastering these concepts enables you to perform accurate calculations, make informed decisions, and solve complex problems efficiently.

What are Fractions, Decimals & Percentages?

Fractions represent parts of a whole and consist of a numerator and a denominator, written as a/b. The numerator indicates how many parts are being considered, while the denominator shows the total number of equal parts that make up the whole.

Decimals are another way to express fractions, using the base-10 system. They are written with a decimal point separating the whole number from the fractional part.

Percentages express a number as a fraction of 100. They are denoted by the percent symbol (%), making it easy to compare different values and understand proportions.

Understanding the relationships between fractions, decimals, and percentages is crucial for converting between these forms and applying them effectively in various contexts.

Converting Between Fractions, Decimals & Percentages

Being able to convert between fractions, decimals, and percentages allows for flexibility in solving problems and communicating numerical information clearly. Below are the methods for converting each form to the others.

1. Converting Fractions to Decimals

To convert a fraction to a decimal, divide the numerator by the denominator.

Example: Convert \( \frac{3}{4} \) to a decimal.

\[ \frac{3}{4} = 0.75 \]

2. Converting Decimals to Fractions

To convert a decimal to a fraction, write the decimal over its place value and simplify if possible.

Example: Convert 0.6 to a fraction.

\[ 0.6 = \frac{6}{10} = \frac{3}{5} \]

3. Converting Fractions to Percentages

To convert a fraction to a percentage, first convert the fraction to a decimal, then multiply by 100.

Example: Convert \( \frac{2}{5} \) to a percentage.

\[ \frac{2}{5} = 0.4 \\ 0.4 \times 100 = 40\% \]

4. Converting Percentages to Fractions

To convert a percentage to a fraction, write the percentage as a ratio with 100 as the denominator and simplify.

Example: Convert 25% to a fraction.

\[ 25\% = \frac{25}{100} = \frac{1}{4} \]

5. Converting Decimals to Percentages

To convert a decimal to a percentage, multiply by 100 and add the percent symbol.

Example: Convert 0.85 to a percentage.

\[ 0.85 \times 100 = 85\% \]

6. Converting Percentages to Decimals

To convert a percentage to a decimal, divide by 100 and remove the percent symbol.

Example: Convert 150% to a decimal.

\[ 150\% = 1.5 \]

Operations with Fractions, Decimals & Percentages

Performing mathematical operations with fractions, decimals, and percentages is essential for solving a wide range of problems. Below are the primary operations involving these forms of numbers.

Addition and Subtraction

When adding or subtracting fractions, ensure they have a common denominator. For decimals, align the decimal points before performing the operation.

Example (Fractions): Add \( \frac{1}{4} \) and \( \frac{3}{8} \).

\[ \frac{1}{4} + \frac{3}{8} = \frac{2}{8} + \frac{3}{8} = \frac{5}{8} \]

Example (Decimals): Subtract 0.75 from 1.2.

\[ 1.2 - 0.75 = 0.45 \]

Multiplication

Multiplying fractions involves multiplying the numerators and denominators. For decimals and percentages, convert percentages to decimals before multiplying.

Example (Fractions): Multiply \( \frac{2}{3} \) by \( \frac{4}{5} \).

\[ \frac{2}{3} \times \frac{4}{5} = \frac{8}{15} \]

Example (Decimals): Multiply 0.5 by 0.2.

\[ 0.5 \times 0.2 = 0.1 \]

Example (Percentages): Multiply 30% by 50%.

\[ 0.3 \times 0.5 = 0.15 = 15\% \]

Division

Dividing fractions requires multiplying by the reciprocal of the divisor. For decimals and percentages, convert percentages to decimals before dividing.

Example (Fractions): Divide \( \frac{3}{4} \) by \( \frac{2}{5} \).

\[ \frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1 \frac{7}{8} \]

Example (Decimals): Divide 1.2 by 0.3.

\[ 1.2 \div 0.3 = 4 \]

Example (Percentages): Divide 60% by 20%.

\[ 0.6 \div 0.2 = 3 = 300\% \]

Real-Life Applications

Fractions, decimals, and percentages are not confined to the classroom; they are integral to various aspects of daily life. Understanding how to apply these concepts can enhance decision-making and problem-solving skills in real-world scenarios.

1. Shopping and Discounts

Calculating discounts during sales often involves percentages. Understanding how to convert and manipulate percentages helps in determining the final price of items.

Example: A jacket originally priced at $80 is on sale for 25% off. What is the sale price?

\[ 25\% \times 80 = 20 \\ 80 - 20 = 60 \]

Answer: The sale price is $60.

2. Cooking and Baking

Recipes often require precise measurements, which may involve fractions or decimals. Converting between these forms ensures accurate ingredient quantities.

Example: A recipe calls for \( \frac{3}{4} \) cup of sugar. Convert this to a decimal.

\[ \frac{3}{4} = 0.75 \text{ cups} \]

3. Financial Planning

Managing personal finances, such as budgeting, saving, and investing, requires the use of fractions, decimals, and percentages to calculate interest rates, loan repayments, and savings growth.

Example: If you save 5% of your $200 monthly income, how much do you save each month?

\[ 5\% \times 200 = 10 \]

Answer: You save $10 each month.

4. Construction and Engineering

Measurements in construction projects often involve fractions and decimals for precision. Calculating areas, volumes, and materials required relies on accurate mathematical conversions.

Example: A rectangular room is 12.5 feet long and 10.75 feet wide. What is the area?

\[ 12.5 \times 10.75 = 134.375 \text{ square feet} \]

Answer: The area is 134.375 square feet.

Common Mistakes When Working with Fractions, Decimals & Percentages

While working with fractions, decimals, and percentages, certain common mistakes can lead to incorrect results. Being aware of these pitfalls can help improve accuracy and efficiency in mathematical calculations.

  • Incorrect Conversion: Misconverting between fractions, decimals, and percentages, such as forgetting to move the decimal point when converting decimals to percentages.
  • Forgetting to Simplify: Not simplifying fractions can make calculations more complicated and lead to errors.
  • Mishandling Negative Numbers: Overlooking negative signs during conversions and operations, leading to incorrect answers.
  • Misaligning Decimal Points: When adding or subtracting decimals, not aligning the decimal points properly can result in wrong calculations.
  • Overlooking Place Value: Ignoring the significance of place value when working with decimals and percentages, causing miscalculations.
  • Assuming All Percentages are Parts of 100: Misinterpreting percentages in different contexts, such as profit margins versus discount rates.
  • Rushing Through Problems: Moving too quickly without double-checking steps, leading to simple arithmetic mistakes.
  • Ignoring Units: Forgetting to include units (e.g., dollars, centimeters) can cause confusion, especially in real-life applications.
  • Using Incorrect Formulas: Applying the wrong formula for operations or conversions, such as using the arithmetic sequence formula for percentages.
  • Not Practicing Enough: Insufficient practice with a variety of problems limits proficiency and increases the likelihood of errors.

Examples of Fractions, Decimals & Percentages

Example 1: Converting a Fraction to a Decimal

Problem: Convert \( \frac{7}{8} \) to a decimal.

Solution:

\[ \frac{7}{8} = 0.875 \]

Answer: \( \frac{7}{8} = 0.875 \)

Example 2: Converting a Decimal to a Percentage

Problem: Convert 0.45 to a percentage.

Solution:

\[ 0.45 \times 100 = 45\% \]

Answer: 0.45 = 45%

Example 3: Converting a Percentage to a Fraction

Problem: Convert 60% to a fraction.

Solution:

\[ 60\% = \frac{60}{100} = \frac{3}{5} \]

Answer: 60% = \( \frac{3}{5} \)

Example 4: Adding Two Fractions

Problem: Add \( \frac{2}{3} \) and \( \frac{4}{5} \).

Solution:

Find a common denominator, which is 15:

\[ \frac{2}{3} = \frac{10}{15} \\ \frac{4}{5} = \frac{12}{15} \\ \frac{10}{15} + \frac{12}{15} = \frac{22}{15} = 1 \frac{7}{15} \]

Answer: \( 1 \frac{7}{15} \)

Example 5: Calculating a Percentage Increase

Problem: A product's price increased from $50 to $65. What is the percentage increase?

Solution:

\[ \text{Increase} = 65 - 50 = 15 \\ \text{Percentage Increase} = \left( \frac{15}{50} \right) \times 100 = 30\% \]

Answer: The price increased by 30%.

Example 6: Finding the Original Price Before a Discount

Problem: After a 20% discount, a jacket costs $80. What was the original price?

Solution:

Let the original price be \( x \). \[ x - 0.20x = 80 \\ 0.80x = 80 \\ x = \frac{80}{0.80} = 100 \]

Answer: The original price was $100.

Frequently Asked Questions (FAQs)

1. What is a fraction?
A fraction represents a part of a whole or any number of equal parts. It consists of a numerator and a denominator, written as a/b, where 'a' is the numerator and 'b' is the denominator.
2. How do you convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator by the denominator using long division or a calculator.
3. What is the relationship between fractions, decimals, and percentages?
Fractions, decimals, and percentages are different ways to represent the same value. They can be converted from one form to another to facilitate various types of calculations and comparisons.
4. How do you convert a decimal to a percentage?
To convert a decimal to a percentage, multiply the decimal by 100 and add the percent symbol (%).
5. Can you explain how to convert a percentage to a fraction?
To convert a percentage to a fraction, write the percentage as a ratio with 100 as the denominator and simplify the fraction if possible.
6. How are fractions, decimals, and percentages used in real life?
They are used in various real-life situations such as calculating discounts, measuring ingredients in cooking, dividing resources, understanding statistics, and managing finances.
7. What is the best way to practice converting between fractions, decimals, and percentages?
Practice regularly by solving a variety of problems, using visual aids like number lines, and applying the concepts to real-life scenarios to reinforce understanding and proficiency.
8. How do you add and subtract fractions with different denominators?
To add or subtract fractions with different denominators, first find a common denominator, convert the fractions to equivalent fractions with that denominator, and then perform the addition or subtraction.
9. What is a mixed number and how do you convert it to an improper fraction?
A mixed number combines a whole number and a fraction, such as 1 3/4. To convert it to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 1 3/4 becomes 7/4.
10. How do percentages relate to fractions and decimals?
Percentages are another way to express fractions and decimals. 50% is equivalent to 1/2 or 0.5, 25% is equivalent to 1/4 or 0.25, and so on. They all represent parts of a whole.

Conclusion

Fractions, decimals, and percentages are essential components of mathematics that provide different perspectives on numerical values. Mastering the conversion and operations among these forms enhances your mathematical proficiency and equips you with the skills needed to tackle a wide range of problems.

Whether you're calculating discounts during shopping, measuring ingredients in cooking, managing your finances, or engaging in more advanced mathematical studies, understanding fractions, decimals, and percentages is invaluable. Regular practice and application of these concepts in real-life scenarios will solidify your understanding and improve your ability to work with numbers effectively.

Embrace the versatility of fractions, decimals, and percentages, and you'll find that these mathematical tools are not only fundamental to academic success but also integral to everyday decision-making and problem-solving.

 

Fractions:

  • Fractions 1: Mixed Numbers (Reuben McIntyre) MS Powerpoint
  • Fractions 2: Improper Fractions (Reuben McIntyre) MS Powerpoint
  • Fractions 3: Equivalet Fractions (Reuben McIntyre) MS Powerpoint
  • Fractions 4: Simplifying Fractions (Reuben McIntyre) MS Powerpoint
  • Fractional Parts of Shapes (R. Lovelock) Smart Notebook (zipped)
  •  Fractions Marking Ladder (Y1-4) Spring 1 (Victoria Scott) DOC
  • Fractions 5: Fractions of Whole Numbers (Reuben McIntyre) MS Powerpoint
  • Fractions 6: Adding Fractions (Reuben McIntyre) MS Powerpoint
  • Fractions (Quarters) (Tracey Short) DOC
  • Fractions to Order (Lisa Dunn) DOC
  • Fractions Display Cards (Jane Campbell) DOC
  •  Colour One Half (Margaret-Anne McGinley) DOC
  •  Colour Half and Quarters (Sarah Dibley) DOC
  •  Halves (Sukina Jalaf) MS Powerpoint
  •  Halves (Fruit) (Sukina Jalaf) MS Powerpoint
  •  Quarters (Drinks) (Sukina Jalaf) MS Powerpoint
  •  Quarters (Fruit) (Sukina Jalaf) MS Powerpoint
  •  Halves (Angela Bently) DOC
  •  Half (Mark Raza) MS Powerpoint
  •  Halves and Quarters Shading (Jackie Simbler) DOC
  •  Basic Fractions (Adam Jewkes) MS Powerpoint
  •  Fractions (Halves) (Lisa Mary McNamee) MS Powerpoint
  •  Fun Fractions (3 dif. sheets) (Cara Hayman) PDF
  •  Quarter It! (Jackie Chidwick) PDF
  •  Half of numbers (Sheena Florey) PDF
  •  Fractions of Shapes (Block E Unit 2) (David-Guy Parkin) DOC
  •  Half or Not Half (Dhipa Begum) DOC
  •  Shade One Half and One Quarter (Dhipa Begum) DOC
  •  Shade Quarters (Dhipa Begum) DOC
  •  Simple Fractions (Peter Dunbar) PDF
  •  Fractions of Quantities (Mark Wilson) DOC
  •  Shade Two Thirds (Elaine Smith)  
  •  Finding a Half (Kat Hester) Smart Notebook (zipped)
  •  Fractions of Shapes (Emma Foster) DOC
  •  Fractions of Numbers (Emma Foster) DOC
  •  Fractions Problems (Cara Lynch) DOC
  •  Halves and Quarters Shading (Gaynor Davis) DOC
  •  Halving (Karen Mercer) MS Powerpoint
  •  Introduction to Fractions (Emily Corble) Smart Notebook (zipped)
  •  Fractions (Liz Hazelden) DOC
  •  Fractions for Beginners (Carol Wright) DOC
  •  Hatching Fractions (Arthur Daley) PDF
  •  Pizza Fractions (Vicky Frampton) DOC
  •  Colour Halves and Quarters (Gwyneth Pocock) DOC
  •  Fraction Walls (blank) (Gareth Pitchford) Smart Notebook (zipped)
  •  Interactive Fraction Wall (Lorraine Oldale) Smart Notebook (zipped)
  •  Fraction Target Board (Liz Greenwood) PDF
  •  Fraction Wall (Carol Bloomfield) PDF
  •  Colour Fraction Wall (Carole-Ann Balaam) DOC
  •  Equivalent Fraction Strips (Jennifer Orgill) DOC
  •  Fraction Wall (Jackie Launders) PDF
  •  Fraction Wall (Mandy Smith) PDF
  •  Fractions Cards (Joanne Nalton) DOC
  •  Large Fraction Wall (Jeremy Harris) DOC
  •  Would You Rather Have…? (Clare Martin)  
  •  Fractions Test (Leanne Wilson) DOC
  •  Fractions – thirds & fifths (Rachael Wilkie) MS Powerpoint
  •  What fraction is shaded? (Kate Warner) MS Powerpoint
  •  Introducing Fractions (Steve Kersys) MS Powerpoint
  •  Fractions 1 (Gareth Rossiter) MS Powerpoint
  •  Fractions 2 (Gareth Rossiter) MS Powerpoint
  •  Equivalent Fractions (Sarah Sergeant) MS Powerpoint
  •  Smartie Fractions (Sheila Black) PDF
  •  Smartie Fractions (Mandy Smith) PDF
  •  Fractions Worksheets (Gareth Rossiter) PDF
  •  Ordering Fractions (Nadine Turner) PDF
  •  Fraction Mats (Stuart Arlow) DOC
  •  Whole, Halves and Quarters (Rachael Wilkie) DOC
  •  Equivalent Fractions (Christina Holmes) Smart Notebook (zipped)
  •  Fraction Numberlines (Eve Croft) DOC
  •  Fraction Number Lines (Rhodri Thomas) DOC
  •  Pizza Maths – Fractions of amounts (5 sheets) PDF
  •  Equivalent Fractions Match Up (Louise Macdonald) DOC
  •  Fractions Word Problems (Louise Macdonald) DOC
  •  Shade One Half / Quarter (Cindy Hoy) DOC
  •  Fractions of Shapes (Jay Birmingham) DOC
  •  Fractions of Quantities Problems (Helen Langford) DOC
  •  Fraction Posters (Paula Alty DOC
  •  Pizza Challenge (Heather Slater) Smart Notebook (zipped)
  •  Fractions (T2) (Louise Cosby) Smart Notebook (zipped)
  •  Fractions (Gateway Primary) ActivStudio
  •  Simple Tenths 1 (Tony Chapman) MS Powerpoint
  •  Simple Tenths 2 (Tony Chapman) MS Powerpoint
  •  Fractions Wall (Siobhan Arnold) Smart Notebook (zipped)
  •  Reading and Writing Fractions (Fiona Tinwell) MS Powerpoint
  •  Shading Fractions (Kevin Kerr) PDF
  •  Fraction Number Line (Arthur Daley) PDF
  •  Fractions Poster (Ali McNamara) DOC
  •  Fractions Wordsearch (Rosie Iribas) DOC
  •  Halving & Quartering (Liz Hazelden) DOC
  •  Fractions Cards (Kelly Louise Bonner) DOC
  •  Equivalent Fractions Circle (Greg Hornsby) DOC
  •  Fractions of Cubes (Karen Walmsley) DOC
  •  Fractions Week (Emma Graham) Smart Notebook (zipped)
  •  Ordering Fractions (Emma McKenna) MS Powerpoint
  •  Fraction Sheets (6) (Richard Summerfield) PDF
  •  Fractions Board (Louise Macdonald) DOC
  •  Shading Fractions (Sarah Jane Atkinson)  
  •  Pizza Shop Fractions ( 2E) (Dot Hullah) DOC
  •  Everyday Fractions (Linde Morgan) DOC
  •  Fractions (Paul Rigby) MS Powerpoint
  •  Fractions of Shapes & Amounts (Yvonne Anderson) MS Powerpoint
  •  Equivalent Fractions (Margaret Carr) MS Powerpoint
  •  Fractions (T1 U11 Day 1) (Louise Hutchinson) 
  •  Fractions (T1 U11 Day 2) (Louise Hutchinson) 
  •  Fractions (T1 U11 Day 4) (Louise Hutchinson) 
  •  Numerators and Denominators (Natasha Duffy) MS Powerpoint
  •  Pizza Problems (Georgina Burtenshaw) Smart Notebook (zipped)
  •  The Fraction Hunter’s Story (Hilary Minor) PDF
  •  Simple Fraction Problems (Stephen Norwood) PDF
  •  Equivalent Fractions (Kevin Kerr) PDF
  •  Fraction Circles (Mandy Smith) DOC
  •  Coloured Fraction Wall (Karen Holt) DOC
  •  Fractions of Sets (LA) (Bindiya Bhudia) DOC
  •  Fractions of Money (Rosie Iribas) DOC
  •  Mixed Number Pizzas 1 (Carole-Ann Balaam)  
  •  Mixed Number Pizzas 2 (Carole-Ann Balaam)  
  •  Fraction Wall and Questions (Jay Birmingham) DOC
  •  Adding Fractions to Make One Whole (Meryl York) DOC
  •  Putting Fractions on a Number Line (Anne Hayton) Smart Notebook (zipped)
  •  One and Two Step Fraction Problems (Carrie Magee) DOC
  •  Fractions Cards (to order) HA (Nick Hutson) DOC
  •  Fractions Cards (to order) LA (Nick Hutson) DOC
  •  Fractions (Aimi Kinsey-Jones) DOC
  •  Adding & Subtracting Fractions with Same Denominators (Victoria Scott) DOC
  •  Compare & Order Fractions with Same Denominators (Victoria Scott) DOC
  •  Which is Bigger? (Emma Allonby) MS Powerpoint
  •  Equivalent Fractions Lesson (Zip) (Shaun Kelliher) MS Powerpoint
  •  Fractions of Recipes (J. Adams) DOC
  •  Types of Fractions Poster (Cath Walls) DOC
  • Finding Fractions of Numbers using Rectangles (Paul Wren) DOC
  •  Colour the Fractions (Matt Lovegrove) MS Powerpoint 
  •  Build the Fraction Wall (Dot Hullah) ActivStudio
  •  Fractions Equivalent to a Half (Joanne Pooley) MS Powerpoint
  •  Fractions (WWtbaM) (Dot Hullah) MS Powerpoint
  •  Comparing and Ordering Fractions (Katherin Weeks) MS Powerpoint
  •  T1 U11 Fractions and Decimals (David Arthur) ActivStudio
  •  Fraction Problems (Anna Mongan) PDF
  •  Finding Fractions of Whole Numbers (Hilary Minor) PDF
  •  Real Life Fractions (2 sheets) (Cara Hayman) PDF
  •  A Fraction of the Problem (2 sheets) (Cara Hayman) PDF
  •  Fractions of Numbers (Rosie Iribas) DOC
  •  Toy Sale Fractions (Kath Huggett) DOC
  •  Fractions Sale (Louise Pickering) PDF
  •  Improper Fractions to Mixed Numbers (Becky Cheshire) DOC
  •  Shade the Fractions (Melanie Osborne) 
  •  Fraction Wall Questions (Pete Smith) DOC
  •  Shade Equivalent Fractions (Joanna Martin) 
  •  Equivalent Fractions (Jay Birmingham) DOC
  •  Equivalent Fractions Display (Diane Hartley) DOC
  •  Fraction Matching (Helen Graham) DOC
  •  Equivalent Fractions to One Half/Quarter (Meryl York) DOC
  •  Fraction Cards That Total 1 (Linda Kielty/Ceri Hill) DOC
  •  Fraction Cards to Total 1 (Claire Richmond) DOC
  •  Fractions of Quartiles (Rebecca Joyce) MS Powerpoint
  •  Chocolate Fractions (Shaun Kelliher) DOC
  • What Fraction is Shaded? (Gwyneth Pocock) DOC
  •  Fraction Flags (Claire Richmond) DOC
  • Finding Equivalent Fractions (Morag Watson) 
  • Finding Fractions of Numbers (Jennifer Craft) 
  •  Finding Fractions of Whole Numbers (Dhipa Begum) DOC
  • Fraction Cake Activity & Recipe (Alison Richmond) DOC
  •  Ordering Fractions (Edleston Children) Downloadable Program
  •  Improper Fractions (Craig Arbuckle) MS Powerpoint
  •  Equivalent Fractions (T1) (Amy Flannery) Smart Notebook (zipped)
  •  Improper Fractions (T1 wk4 LA) (Mike Ball) MS Powerpoint
  •  Improper Fractions & Mixed Numbers (Priya Shah) MS Powerpoint
  •  Equivalent Fractions (Priya Shah) MS Powerpoint
  •  Improper Fractions (Mark Anderson) PDF
  •  Improper Fractions (Arthur Daley) PDF
  •  Proper & Inproper Fractions (David Guest) PDF
  •  Fractions of Numbers (Sue Vaughan) PDF
  •  Fractions of Numbers 2 (Sue Vaughan) PDF
  •  Expressing Fractions of Amounts ( E3) (Anna Miles) DOC
  •  Fractions of a Number (Priya Shah)  
  •  Equivalent Fractions (Paul Williams) MS Powerpoint
    (Welsh Translation by Rebeca James)  MS Powerpoint
  •  Fractional Parts (Rachel Layton) 
  •  Adding Fractions (Kevin Kerr) PDF
  •  Subtracting Fractions (Kevin Kerr) PDF
  •  Adding & Subtracting Fractions (David Guest) PDF
  •  Would You Rather…? (Clair Smith) DOC
  •  Finding Fractions of Numbers and Shapes (Jennifer Craft) DOC
  •  Fractions of Quantities Problem Solving (Catherine Roe)  
  •  Multiplying Fractions Problems (Hester Lomas) DOC
  •  Multiplying Fractions (Priya Shah) MS Powerpoint
  •  Dividing Fractions (Priya Shah) MS Powerpoint
  •  Mixed Fractions (Tony Chapman) MS Powerpoint
  •  Mixed Fractions (Lorraine Davidson) MS Powerpoint
  •  Class Quiz: Equivalent Fractions (Lynne Outhwaite) MS Powerpoint
  •  Fractions of Quantities (LA) (Mike Ball) MS Powerpoint
  •  Fractional Quantities (David Guest) PDF
  •  Fractions of Quantities (Sam Fortune) PDF
  •  Equivalent Pizza Fractions (Natalie Crawford) DOC
  •  Improper/Mixed Fractions Cards (Joanne Nalton) DOC
  •  Fraction Word Problems (Nick Murrin) PDF
  •  Improper Fraction Ingredients (Lucy Davis) DOC
  •  Equivalent Fractions (Tom Bateson)  
  •  Ordering Fractions (Paul Williams) MS Powerpoint
  •  Mixed Numbers and Improper Fractions (Hannah Smith) MS Powerpoint
    (Welsh Translation by Rebeca James)  MS Powerpoint
  •  Improper Fractions (Rachel Layton) 
  •  Ordering Fractions (Nicola Middleton) DOC
  •  Common Denominators (David Guest) PDF
  •  Equivalent Fraction Cards (Lisa Dunn) DOC
  •  Fraction Word Problems (Jim Usher) DOC
  •  One Amount as a Fraction of Another (Christine Hardwidge)  
  •  Equivalent Fractions Jigsaw (Peter Barnett) PDF
  •  Reducing Fractions (Louise Whitby) 
  •  Comparing Fractions (Susan Williams) MS Powerpoint
  •  Multiplying & Dividing Fractions (Joe Pinnock) DOC
  •  Multiplying Fractions (Triangle) Jigsaw (Peter Barnett) PDF
  •  Multiplying Fractions (Rhombus) Jigsaw (Peter Barnett) PDF
  •  Multiplying & Dividing Fractions (Peter Barnett) MS Powerpoint
  •  Equivalent Fraction Cards (Lisa Dunn) DOC
  •  Adding & Subtracting Fractions Jigsaw (Peter Barnett) PDF
  •  Simplifying Fractions (Jessica Ganley) Smart Notebook (zipped)
  •  Dividing Fractions (Triangle) Jigsaw (Peter Barnett) PDF
  •  Dividing Fractions (Rhombus) Jigsaw (Peter Barnett) PDF