Question

Tne of Mr. Terry's students, Yvonne, found the answer to the problem 3/8×2/9 as represented in the work shown. Student's work:3/8×2/9=2/8×3/9=1/4×1/3=1/12. When Mr. Terry asked Yvonne to explain her work, she said, "It's easier to just switch the numerators to make simpler fractions." Which of the following statements is True of Yvonne's strategy?

A. Yvonne's strategy is a valid multiplication technique.
B. Yvonne's strategy is based on the commutative property of multiplication.
C. Yvonne's strategy is equivalent to the cross-multiplication method.
D. Yvonne's strategy does not consider the multiplication of denominators.

Answer 1

Yvonne's strategy is not valid because it doesn't consider the multiplication of denominators.

Step-by-step explanation:

Yvonne's strategy is not a valid multiplication technique. In her work, she switched the numerators of the fractions to make simpler fractions. However, when multiplying fractions, we need to multiply the numerators together and multiply the denominators together.

For example, to multiply 3/8 x 2/9, we should multiply 3 x 2 to get 6 as the numerator, and multiply 8 x 9 to get 72 as the denominator. So the correct answer is 6/72, which can be simplified to 1/12.

Yvonne's strategy does not consider the multiplication of denominators, which is a necessary step in multiplying fractions.