Solve 2/3:12/20:8/18

$$\frac { 2 } { 3 } : \frac { 12 } { 20 } : \frac { 8 } { 18 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide \frac{\frac{2}{3}}{\frac{12}{20}} by \frac{8}{18} by multiplying \frac{\frac{2}{3}}{\frac{12}{20}} by the reciprocal of \frac{8}{18}.

$$\frac{\frac{2}{3}\times 18}{\frac{12}{20}\times 8}$$

Express \frac{2}{3}\times 18 as a single fraction.

$$\frac{\frac{2\times 18}{3}}{\frac{12}{20}\times 8}$$

Multiply 2 and 18 to get 36.

$$\frac{\frac{36}{3}}{\frac{12}{20}\times 8}$$

Divide 36 by 3 to get 12.

$$\frac{12}{\frac{12}{20}\times 8}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{12}{\frac{3}{5}\times 8}$$

Express \frac{3}{5}\times 8 as a single fraction.

$$\frac{12}{\frac{3\times 8}{5}}$$

Multiply 3 and 8 to get 24.

$$\frac{12}{\frac{24}{5}}$$

Divide 12 by \frac{24}{5} by multiplying 12 by the reciprocal of \frac{24}{5}.

$$12\times \frac{5}{24}$$

Express 12\times \frac{5}{24} as a single fraction.

$$\frac{12\times 5}{24}$$

Multiply 12 and 5 to get 60.

$$\frac{60}{24}$$

Reduce the fraction \frac{60}{24} to lowest terms by extracting and canceling out 12.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$