Imagine you have 1/4 of a pie to slip with your friend. Explain how you would divide fractions to figure out how much of the pie each of you will have.

Answer 1

To divide fractions, we can use the formula: A/B ÷ C/D = A/B * D/C, where A/B and C/D are the fractions we want to divide.

In this case, we have 1/4 of a pie to split between you and your friend. Let's say you are represented by Fraction A and your friend is represented by Fraction B.

So, A = 1/4 (the amount we have)
B = ? (the amount each of you will have)

To find B, we can divide A by 2 (since there are two people sharing the pie).

B = A/2
B = (1/4) / 2
B = (1/4) * (1/2)

Multiplying the numerators and denominators:
B = (1 * 1) / (4 * 2)
B = 1/8

Therefore, each of you will have 1/8 of the pie when dividing 1/4 of a pie between two people.