Question

Rewrite $\frac{3}{4}x+2=\frac{9}{10}$ so that it doesn’t have fractions.

Answer 1

To rewrite the fraction:

Given fraction can be re-written so that it doesn't have any fraction by taking $LCM$ and doing cross-multiply.

$$\begin{gathered} \frac{3}{4}x+2=\frac{9}{10} \\ \Rightarrow \frac{3x+8}{4}=\frac{9}{10}\left[\mathrm{Simplify}\mathrm{the}\mathrm{left}\mathrm{side}\right] \\ \Rightarrow 10\left(3x+8\right)=9\times 4\left[\mathrm{Cross}\mathrm{multiply}\right] \\ \therefore 30x+80=36 \end{gathered}$$

Hence , equation re-written as no fractions is $\mathbf{30}\mathit{x}\mathbf{+}\mathbf{80}\mathbf{=}\mathbf{36}$.