Simplifying Fractions Made Easy
Year 7 Mathematics New Zealand Curriculum 30-minute lesson
WALT: We Are Learning To Simplify Fractions
Find the greatest common factor (GCF) of numerator and denominator Divide both parts of a fraction by their GCF Recognize when a fraction is in its simplest form Apply simplification to solve real-world problems
Fraction Detective Activity
Look at these fraction pairs - which are equivalent? 2/4 and 1/2 6/9 and 2/3 8/12 and 3/4 Work with a partner to find the pattern!
The GCF Method: Step-by-Step
Step 1: List the factors of the numerator Step 2: List the factors of the denominator Step 3: Find the Greatest Common Factor (GCF) Step 4: Divide both numerator and denominator by the GCF Example: 12/18 → GCF is 6 → 12÷6/18÷6 = 2/3
Quick Check: Can You Simplify These?
Try simplifying these fractions: a) 15/20 b) 24/36 c) 14/21 Think-Pair-Share: Discuss your method with a classmate
Success Criteria & Extension Challenges
✓ I can find the GCF of two numbers ✓ I can simplify fractions to lowest terms ✓ I can explain why fractions are equivalent Extension: Try mixed numbers like 1⅝ Real-world: Simplify recipe measurements!