Question

Which product is less than 2 and why?

A.7/9x2 because the fraction is less than 1.

B.5/4x2 because the fraction is greater than 1.

C.6/3x2 because the fraction equals 2.

D.11/5x2 because the fraction is greater than 2.

Answer 1

To find which product is less than 2, we need to evaluate each expression and compare it to 2.

A. 7/9 x 2 = (7/9) x 2/1 = 14/9 = 1.55... which is less than 2. The reasoning given ("the fraction is less than 1") is incorrect.

B. 5/4 x 2 = (5/4) x 2/1 = 5/2 = 2.5 which is greater than 2.

C. 6/3 x 2 = (6/3) x 2/1 = 4 which is less than 2.

D. 11/5 x 2 = (11/5) x 2/1 = 22/5 = 4.4 which is greater than 2.

Therefore, the only product that is less than 2 is option C, 6/3 x 2, because it evaluates to 4 which is less than 2.

Explanation:

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