Solve 31/5div3div2/3

$$3 \frac { 1 } { 5 } \div 3 \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Divide \frac{\frac{3\times 5+1}{5}}{3} by \frac{2}{3} by multiplying \frac{\frac{3\times 5+1}{5}}{3} by the reciprocal of \frac{2}{3}.

$$\frac{\frac{3\times 5+1}{5}\times 3}{3\times 2}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15+1}{5}\times 3}{3\times 2}$$

Add 15 and 1 to get 16.

$$\frac{\frac{16}{5}\times 3}{3\times 2}$$

Express \frac{16}{5}\times 3 as a single fraction.

$$\frac{\frac{16\times 3}{5}}{3\times 2}$$

Multiply 16 and 3 to get 48.

$$\frac{\frac{48}{5}}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{48}{5}}{6}$$

Express \frac{\frac{48}{5}}{6} as a single fraction.

$$\frac{48}{5\times 6}$$

Multiply 5 and 6 to get 30.

$$\frac{48}{30}$$

Reduce the fraction \frac{48}{30} to lowest terms by extracting and canceling out 6.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$