Question

Sophia's mom gave her 7/8 of a bag of candy hearts. If she splits those among her four friends, how much of a bag does each friend receive?

A. 7/8
B. 7/32
C. 1/4
D. 1/32

Answer 1

Each friend receives 7/32 of a bag of candy hearts when Sophia splits 7/8 of a bag among her four friends, which corresponds to option B.

Step-by-step explanation:

The question asks us to determine how much of a bag of candy hearts each of Sophia's four friends receive if she splits 7/8 of a bag among them. To find the answer, we divide 7/8 by 4. Here's the calculation:

1. Start with the fraction 7/8.
2. Since dividing by a whole number is the same as multiplying by its reciprocal, we multiply 7/8 by 1/4 (which is the reciprocal of 4).
3. Multiplying the numerators (7 × 1) and the denominators (8 × 4) gives us the fraction 7/32.

Therefore, each friend receives 7/32 of a bag of candy hearts, which is option B.