Solve xdiv13/10=8/13

$$x \div 1 \frac { 3 } { 10 } = \frac { 8 } { 13 }$$

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Divide x by \frac{1\times 10+3}{10} by multiplying x by the reciprocal of \frac{1\times 10+3}{10}.

$$\frac{x\times 10}{1\times 10+3}=\frac{8}{13}$$

Multiply 1 and 10 to get 10.

$$\frac{x\times 10}{10+3}=\frac{8}{13}$$

Add 10 and 3 to get 13.

$$\frac{x\times 10}{13}=\frac{8}{13}$$

Multiply both sides by 13.

$$x\times 10=\frac{8}{13}\times 13$$

Cancel out 13 and 13.

$$x\times 10=8$$

Divide both sides by 10.

$$x=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{5}$$