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Equivalent fraction
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Lesson: Equivalent Fractions
Year 7 .
1. What are equivalent fractions?
Equivalent fractions are different fractions that represent the same value. They show the same part of a whole even if the numerator and denominator differ.
Example:1/2 = 2/4 = 4/8 (all represent one half)
2. How to make equivalent fractions
Method A — Multiply
Multiply the numerator and denominator by the same number.
Example: 3/5 → multiply by 2 → 6/10
Method B — Divide (simplify)
Divide the numerator and denominator by their greatest common factor (when possible).
Example: 12/16 → divide by 4 → 3/4
3. Visual idea
Think of a pizza cut into slices. 2/8 of a pizza is the same amount as 1/4 of a pizza — they are equivalent.
4. Check with cross-multiplication
To test whether a/b and c/d are equivalent, check if a × d = b × c.
Example: Are 2/3 and 8/12 equivalent?
Calculate: 2 × 12 = 24 and 3 × 8 = 24. Since they are equal, the fractions are equivalent.
5. Practice
- Write two equivalent fractions for
4/9. - Check whether
6/8and9/12are equivalent (show working). - Simplify
18/27. - Find an equivalent fraction for
7/10by multiplying numerator and denominator by 3. - Write three equivalent fractions for
5/6.
Answers (teacher)
- Two equivalents for
4/9:8/18,12/27 - Check
6/8vs9/12:6×12 = 72and8×9 = 72→ equivalent. 18/27simplified: divide by 9 →2/3.7/10 × 3/3 = 21/30.- Three equivalents for
5/6:10/12,15/18,20/24.