Question

Name

Answer 1

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.