Fractions, Decimals & Percentages: Mastering the Basics | Examples, Conversions & Free Worksheets

Maths Basics Guide

Fractions, Decimals & Percentages: Mastering the Basics

Fractions, decimals, and percentages are three connected ways to describe part of a whole. Once you understand how they connect, you can solve school maths questions faster, compare values more accurately, and handle real-life situations like discounts, recipes, mark percentages, and budget planning with much more confidence.

This page combines a clear teaching guide, quick conversion rules, worked examples, common mistake checks, and a large library of linked resources extracted from your uploaded file. Use it as a study page, revision page, or classroom support hub.

Concepts Quick Converter Examples Resources FAQs

What are fractions, decimals, and percentages?

Fractions show equal parts of a whole, such as 1/2, 3/4, or 7/10. The top number is the numerator and the bottom number is the denominator.

Decimals show the same idea using place value in base 10, such as 0.5, 0.75, and 0.7.

Percentages show “per hundred”, such as 50%, 75%, and 70%. They are especially useful when comparing marks, discounts, growth, and proportions.

Fraction → Decimal

Divide the numerator by the denominator.

a / b = decimal

Example: 3/4 = 0.75

Decimal → Percentage

Multiply by 100 and add the percent sign.

decimal × 100 = %

Example: 0.45 = 45%

Percentage → Fraction

Write the percentage over 100 and simplify.

p% = p/100

Example: 25% = 25/100 = 1/4

Quick fraction, decimal and percentage converter

Use this simple converter for fast checking. Enter either a fraction, a decimal, or a percentage. The other forms update automatically.

Equivalent fraction:

—

Simplified fraction:

—

Decimal value:

—

Percentage value:

—

Please enter a valid value such as 3/4, 0.75, or 75%.

Worked examples and real-life applications

Example 1: Fraction to decimal

Convert 5/8 into a decimal.

Answer: 5 ÷ 8 = 0.625

Example 2: Decimal to percentage

Convert 0.32 into a percentage.

Answer: 0.32 × 100 = 32%

Example 3: Percentage discount

A book costs £20 and is reduced by 25%.

Answer: discount = £5, sale price = £15

Example 4: Recipe scaling

A recipe needs 0.5 cup of milk. In fraction form that is 1/2 cup.

Answer: 0.5 = 50% = 1/2

Common mistakes to avoid

  • Forgetting to simplify a fraction after converting from a percentage.
  • Misplacing the decimal point when converting between decimals and percentages.
  • Adding or subtracting fractions without first using a common denominator.
  • Confusing 0.5 with 0.05 or 50% with 5%.
  • Ignoring units in real-life problems involving money, measurement, or time.

Free linked resources from the uploaded file

These linked materials were extracted from your uploaded file. PDF links open in a popup viewer. Non-PDF files open in a new tab.

Some entries in the uploaded file were icon-only or did not contain extractable direct file URLs. This page includes the linked resources that could be extracted reliably.

Fractions Resources

125 linked classroom resources extracted from the uploaded file.

Decimals Resources

1 linked classroom resources extracted from the uploaded file.

PDF Decimals

Comparing and Ordering Fractions (Katherin Weeks) MS Powerpoint T1 U11 Fractions and Decimals (David Arthur) ActivStudio Fraction Problems (Anna Mongan)

Open in Popup Open Original

Mixed Skills Resources

4 linked classroom resources extracted from the uploaded file.

No resources match your current filters.

Frequently asked questions

What is the easiest way to convert a fraction into a decimal?

Divide the numerator by the denominator. For example, 3/4 = 0.75.

How do you turn a decimal into a percentage?

Multiply the decimal by 100 and add the percent sign. For example, 0.45 becomes 45%.

How do you convert a percentage to a fraction?

Write the percentage over 100 and simplify. For example, 25% = 25/100 = 1/4.

Why are fractions, decimals, and percentages important?

They are used in shopping, budgeting, measurements, exam maths, data interpretation, and everyday comparisons.

Can I open the PDF resources in a popup on this page?

Yes. PDF links on this page open in an on-page popup viewer, while non-PDF documents open in a new tab.