Solve 31/5div52/6

$$3 \frac { 1 } { 5 } \div 5 \frac { 2 } { 6 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Divide \frac{3\times 5+1}{5} by \frac{5\times 6+2}{6} by multiplying \frac{3\times 5+1}{5} by the reciprocal of \frac{5\times 6+2}{6}.

$$\frac{\left(3\times 5+1\right)\times 6}{5\left(5\times 6+2\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{\left(15+1\right)\times 6}{5\left(5\times 6+2\right)}$$

Add 15 and 1 to get 16.

$$\frac{16\times 6}{5\left(5\times 6+2\right)}$$

Multiply 16 and 6 to get 96.

$$\frac{96}{5\left(5\times 6+2\right)}$$

Multiply 5 and 6 to get 30.

$$\frac{96}{5\left(30+2\right)}$$

Add 30 and 2 to get 32.

$$\frac{96}{5\times 32}$$

Multiply 5 and 32 to get 160.

$$\frac{96}{160}$$

Reduce the fraction \frac{96}{160} to lowest terms by extracting and canceling out 32.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$