Answer:
1. ¹⁰/₁₂ and ⅚;
2. ⁸/₁₂ and ⁴/₆;
3. ⁶/₁₂ and ³/₆
Step-by-step explanation:
The question is asking what fractions of 12 are equivalent to fractions of some smaller number.
Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.
Scheme 1
Derek eats 10 slices, and Ryan eats 5 (Fig A )
Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.
They each have ⅙ of a pizza left over.
The fractions here are ¹⁰/₁₂ and ⅚.
Scheme 2
Derek eats 8 slices, and Ryan eats 4 (Fig. B)
Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.
They each have ⅓ of a pizza left over.
The fractions here are ⁸/₁₂ and ⁴/₆.
Scheme 3
Derek eats 6 slices, and Ryan eats 3 (Fig. C)
Then Derek has eaten ⁶/₁₂ = ½ of a pizza and Ryan has eaten ³/₆ = ½ of a pizza.
They each have ½ of a pizza left over.
The fractions here are ⁶/₁₂ and ³/₆.
