Solve x:33/10=3/22

$$x : 3 \frac { 3 } { 10 } = \frac { 3 } { 22 }$$

Solve for x

$$x=\frac{9}{20}=0.45$$

Steps for Solving Linear Equation

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

$$\frac{x\times 10}{3\times 10+3}=\frac{3}{22}$$

Multiply 3 and 10 to get 30.

$$\frac{x\times 10}{30+3}=\frac{3}{22}$$

Add 30 and 3 to get 33.

$$\frac{x\times 10}{33}=\frac{3}{22}$$

Multiply both sides by 33.

$$x\times 10=\frac{3}{22}\times 33$$

Express \frac{3}{22}\times 33 as a single fraction.

$$x\times 10=\frac{3\times 33}{22}$$

Multiply 3 and 33 to get 99.

$$x\times 10=\frac{99}{22}$$

Reduce the fraction \frac{99}{22} to lowest terms by extracting and canceling out 11.

$$x\times 10=\frac{9}{2}$$

Divide both sides by 10.

$$x=\frac{\frac{9}{2}}{10}$$

Express \frac{\frac{9}{2}}{10} as a single fraction.

$$x=\frac{9}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$x=\frac{9}{20}$$