Question

I need help could you help me?A number x multiplied by 2/5 is 3/20

Answer 1

To do this, you can first write the sentence in mathematical language, that is

`(2)/(5)x=(3)/(20)`

Now, you can solve for x

`\begin{gathered} (2)/(5)x=(3)/(20) \\ \text{ Multiply by 5 on both sides of the equation} \\ 5\cdot(2)/(5)x=(3)/(20)\cdot5 \\ 2x=(3\cdot5)/(20) \\ 2x=(15)/(20) \\ \text{ Multiply by }(1)/(2)\text{ into both sides of the equation} \\ 2x\cdot(1)/(2)=(15)/(20)\cdot(1)/(2) \\ (2x)/(2)=(15)/(20\cdot2) \\ x=(15)/(40) \\ \text{Simplify} \\ x=(5\cdot3)/(5\cdot8) \\ x=(3)/(8) \end{gathered}`

Therefore, the number is 3/8.