Solve 32/5div13/10

$$3 \frac { 2 } { 5 } \div 1 \frac { 3 } { 10 }$$

Evaluate

$$\frac{34}{13}\approx 2.615384615$$

Solution Steps

Divide \frac{3\times 5+2}{5} by \frac{1\times 10+3}{10} by multiplying \frac{3\times 5+2}{5} by the reciprocal of \frac{1\times 10+3}{10}.

$$\frac{\left(3\times 5+2\right)\times 10}{5\left(1\times 10+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(2+3\times 5\right)}{3+10}$$

Multiply 3 and 5 to get 15.

$$\frac{2\left(2+15\right)}{3+10}$$

Add 2 and 15 to get 17.

$$\frac{2\times 17}{3+10}$$

Multiply 2 and 17 to get 34.

$$\frac{34}{3+10}$$

Add 3 and 10 to get 13.

$$\frac{34}{13}$$

Factor

$$\frac{2 \cdot 17}{13} = 2\frac{8}{13} = 2.6153846153846154$$