Question

Which ratio would not be long in the table of equivalent ratiosA. 2/7B. 4/16C. 8/28D. 10/35

Answer 1

B. 4/16

Explanation:

Two ratios are equivalent if the result of their divisions is 1.

Division of fraction: Multiplication of the numerator by the inverse of the denominator.

In this question:

We are given the ratio 6/21.

We are given four options, one of which is not equivalent to 6/21. We divide 6/21 by all of them, and find the result. The one which the result is not 1 is the one which is not equivalent.

A. 2/7

`((6)/(21))/((2)/(7))=(6)/(21)\ast(7)/(2)=(6\ast7)/(21\ast2)=(42)/(42)=1`

B. 4/16

`((6)/(21))/((4)/(16))=(6)/(21)\ast(16)/(4)=(6\ast16)/(21\ast4)=(96)/(84)\\e1`

These ratios are not equivalent, which means that B is the answer.

C. 8/28

D. 10/35​