Solve 31/5div81/3

$$3 \frac { 1 } { 5 } \div 8 \frac { 1 } { 3 }$$

Evaluate

$$\frac{48}{125}=0.384$$

Solution Steps

Divide \frac{3\times 5+1}{5} by \frac{8\times 3+1}{3} by multiplying \frac{3\times 5+1}{5} by the reciprocal of \frac{8\times 3+1}{3}.

$$\frac{\left(3\times 5+1\right)\times 3}{5\left(8\times 3+1\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{\left(15+1\right)\times 3}{5\left(8\times 3+1\right)}$$

Add 15 and 1 to get 16.

$$\frac{16\times 3}{5\left(8\times 3+1\right)}$$

Multiply 16 and 3 to get 48.

$$\frac{48}{5\left(8\times 3+1\right)}$$

Multiply 8 and 3 to get 24.

$$\frac{48}{5\left(24+1\right)}$$

Add 24 and 1 to get 25.

$$\frac{48}{5\times 25}$$

Multiply 5 and 25 to get 125.

$$\frac{48}{125}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{5 ^ {3}} = 0.384$$