Solve 3/5:2/3:7/10

$$\frac { 3 } { 5 } : \frac { 2 } { 3 } : \frac { 7 } { 10 }$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Divide \frac{\frac{3}{5}}{\frac{2}{3}} by \frac{7}{10} by multiplying \frac{\frac{3}{5}}{\frac{2}{3}} by the reciprocal of \frac{7}{10}.

$$\frac{\frac{3}{5}\times 10}{\frac{2}{3}\times 7}$$

Express \frac{3}{5}\times 10 as a single fraction.

$$\frac{\frac{3\times 10}{5}}{\frac{2}{3}\times 7}$$

Multiply 3 and 10 to get 30.

$$\frac{\frac{30}{5}}{\frac{2}{3}\times 7}$$

Divide 30 by 5 to get 6.

$$\frac{6}{\frac{2}{3}\times 7}$$

Express \frac{2}{3}\times 7 as a single fraction.

$$\frac{6}{\frac{2\times 7}{3}}$$

Multiply 2 and 7 to get 14.

$$\frac{6}{\frac{14}{3}}$$

Divide 6 by \frac{14}{3} by multiplying 6 by the reciprocal of \frac{14}{3}.

$$6\times \frac{3}{14}$$

Express 6\times \frac{3}{14} as a single fraction.

$$\frac{6\times 3}{14}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{14}$$

Reduce the fraction \frac{18}{14} to lowest terms by extracting and canceling out 2.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$