Question

Braelyn separated the candy he received from a Fall festival. Two-thirds of the candy had peanuts and he was allergic to peanuts, so he decided to divide them amongst four friends. What fraction of the candy did each friend recieve?

Answer 1

To find out what fraction of candy each of Braelyn's four friends receives, divide the two-thirds of candy by four. This calculation yields ⅓ × ¼ = ⅜, which simplifies to one-sixth. Hence, each friend gets one-sixth of the total candy.

Step-by-step explanation:

The student's question is focused on dividing a fraction of candy among several friends. Braelyn has candy from a Fall festival, and two-thirds of that candy contains peanuts.

As Braelyn is allergic to peanuts, he decides to give this portion of the candy to four friends equally.

To determine what fraction of the candy each friend receives, you divide the two-thirds by four. Here's how you do it step by step:

1. Express two-thirds as a fraction: ⅓.
2. Divide that fraction by four, which is the same as multiplying by the reciprocal of four (which is ¼).
3. Multiply ⅓ by ¼ which equals ⅓ × ¼ = ⅓ × 1/4 = 2/12 = ⅜. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
4. The simplified fraction is ⅜ ÷ 2/2 = ⅞.

Therefore, each friend receives one-sixth of the total candy.