Question
Imagine you have 1/4 of a pie to slip with your friend. Explain how you would divide fractions to figure our how much of the pie each of you will have.
Answers
GPT 3.5
To divide the 1/4 pie equally between you and your friend, you need to divide the fraction 1/4 by the number of people, which is 2 (one for you and one for your friend).
To do this, you can multiply the fraction 1/4 by its reciprocal, which is 2/1 because dividing by a fraction is the same as multiplying by its reciprocal.
So, multiplying 1/4 by 2/1:
(1/4) × (2/1) = (1 × 2) / (4 × 1)
= 2/4
Therefore, each of you will have 2/4 of the pie. However, this fraction can be simplified. Both 2 and 4 can be divided by their greatest common divisor, which is 2. Dividing both the numerator and denominator of 2/4 by 2:
(2 ÷ 2) / (4 ÷ 2) = 1/2
Hence, each of you will have 1/2 of the pie.
To do this, you can multiply the fraction 1/4 by its reciprocal, which is 2/1 because dividing by a fraction is the same as multiplying by its reciprocal.
So, multiplying 1/4 by 2/1:
(1/4) × (2/1) = (1 × 2) / (4 × 1)
= 2/4
Therefore, each of you will have 2/4 of the pie. However, this fraction can be simplified. Both 2 and 4 can be divided by their greatest common divisor, which is 2. Dividing both the numerator and denominator of 2/4 by 2:
(2 ÷ 2) / (4 ÷ 2) = 1/2
Hence, each of you will have 1/2 of the pie.