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Cambridge / IGCSE • Fractions & Decimals

Equivalent Fractions

Equivalent fractions look different but represent the same value (like 1/2 and 2/4).

Learning Objectives

  • Identify fractions that have the same value
  • Multiply or divide numerator and denominator by the same number
  • Simplify fractions to lowest terms

Lesson Explanation

Lesson Content

To generate an equivalent fraction, multiply or divide both the numerator (top) and denominator (bottom) by the same non-zero number.

💡 Key Takeaway

Take one step at a time, check your working carefully, and keep both sides balanced!

Worked Examples

Example 1

Find an equivalent fraction for 3/4 with a denominator of 12.

  1. Step 1

    Find what to multiply 4 by to get 12: 12 ÷ 4 = 3

  2. Step 2

    Multiply numerator by 3: 3 × 3 = 9

  3. Step 3

    Answer: 3/4 = 9/12

Visual Method

Balance Every Step

Mathematics becomes much clearer when you can see the structure behind equations.

Watch Video Explanation

Practice Questions

Try solving each question on paper first. Tap below to check a helpful hint or solution!

Question 1

Are 2/5 and 6/15 equivalent?

Show Hint / Solution 💡

Multiply 2/5 top and bottom by 3.

Question 2

Simplify 4/8.

Show Hint / Solution 💡

Divide top and bottom by 4.

Lesson Summary

What to Remember

Fractions are equivalent when they represent the exact same portion of a whole.

Download Lesson Notes ↓