Question

Rewrite the equation below so that it does not have fractions.

3/4x-2=2/5

Do not use decimals in your answer.

Answer 1

15x = 48

Explanation:

`\begin{aligned}\rm(3)/(4)x-2&=\rm (2)/(5)\to(multiplied~by~20)\\\rm(20)(3)/(4)x-(20)2&=(20)(2)/(5)\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}`

Answer 2

`(15)/(20) x-2=(8)/(20)`

Explanation:

`(3)/(4) x-2=(2)/(5)`

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

`(3)/(4) =(15)/(20)`

`(2)/(5) =(8)/(20)`

`(15)/(20) x-2=(8)/(20)`

You can then multiply both sides by twenty to solve this equation.

Hope this helps.