Take another piece of paper and try the same starting with two equal parts, and halving every time. Share the findings with your friends. 1/2 = 2/4 = ___ = ___
Step 1: Start with 1/2 (paper folded into 2 parts)
Step 2: Fold in half: 2 parts become 4 parts, coloured = 2/4
Step 3: Fold again: 4 parts become 8 parts, coloured = 4/8
Step 4: Fold again: 8 parts become 16 parts, coloured = 8/16
Answer: 1/2 = 2/4 = 4/8 = 8/16
These are all equivalent fractions. Each time we fold, we double both the numerator and denominator.
Explanation
The chapter extends the paper folding activity to explore equivalent fractions starting from 1/2. This reinforces the concept that equivalent fractions represent the same amount even though they look different.
Solution Steps
Step 1: Start with 1/2 (paper folded into 2 parts)
Step 2: Fold in half: 2 parts become 4 parts, coloured = 2/4
Step 3: Fold again: 4 parts become 8 parts, coloured = 4/8
Step 4: Fold again: 8 parts become 16 parts, coloured = 8/16
Step 5: Pattern: 1/2 = 2/4 = 4/8 = 8/16