Question

The equation shown has unknown number. Enter a fraction that makes the equation true.

Answer 1

`(1)/(5)`

Step-by-step explanation

Step 1

Let x represents the unknow value

so

`\begin{gathered} x\colon(3)/(7)=(7)/(15) \\ do\text{ the division} \\ (7x)/(3)=(7)/(15) \end{gathered}`

Step 2

Multiply both sides by 3

`\begin{gathered} (7x)/(3)=(7)/(15) \\ (7x)/(3)\cdot3=(7)/(15)\cdot3 \\ 7x=(21)/(15) \\ \text{simplify the rigth sides} \\ 7x=(7)/(5) \end{gathered}`

Step 3

divide both sides by 7

`\begin{gathered} 7x=(7)/(5) \\ (7x)/(7)=((7)/(5))/((7)/(1)) \\ x=(7)/(35) \\ x=(1)/(5) \end{gathered}`

therefore the value is

`(1)/(5)`