Question

7/12 ÷ 3/4A 7/9B 7/16C 1 2/7D 21/28

Answer 1

A 7/9

Step-by-step explanation:

Given the expression:

`(7)/(12)/(3)/(4)`

To simplify, the first step is to change the division sign to multiplication sign as follows:

`=(7)/(12)*(4)/(3)`

Next, we multiply the numerators and denominators likewise.

`\begin{gathered} =(7*4)/(12*3)\text{ (We write 12=3 x 4)} \\ =(7*4)/(4*3*3)\text{ (Cancel out 4 in the numerator and denominator)} \\ =(7)/(3*3) \\ =(7)/(9) \end{gathered}`