Question

How can a common denominator model be used to represent the division of 2/3 by 1/2?

Options:
A) Multiply the numerator and denominator of 2/3 by 2 to get 4/6, then divide 4/6 by 1/2.
B) Multiply the numerator and denominator of 2/3 by 3 to get 6/9, then divide 6/9 by 1/2.
C) Multiply the numerator and denominator of 2/3 by 6 to get 12/18, then divide 12/18 by 1/2.
D) Multiply the numerator and denominator of 2/3 by 9 to get 18/27, then divide 18/27 by 1/2.

Answer 1

To represent the division of ½ by ½ using a common denominator model, you need to find a common denominator for both fractions, which is 6. Multiply the numerator and denominator of ½ by 2 to get 4/6. Then divide 4/6 by 1/2 by multiplying 4/6 by 1/2, resulting in 4/12.

Step-by-step explanation:

In order to represent the division of ½ by ½ using a common denominator model, we need to find a common denominator for both fractions.

The common denominator is the smallest common multiple of the denominators, which in this case is 6.

To find the equivalent fractions with a common denominator, we multiply the numerator and denominator of ½ by 2, resulting in 4/6.

Then we divide 4/6 by ½ which is the same as multiplying by the reciprocal of ½, which is 2/1. So, we have 4/6 ÷ 2/1 = 4/6 × 1/2 = 4/12.

Therefore, the correct option is A) Multiply the numerator and denominator of 2/3 by 2 to get 4/6, then divide 4/6 by 1/2.