Solve 32/5div24/5

$$3 \frac { 2 } { 5 } \div 2 \frac { 4 } { 5 }$$

Evaluate

$$\frac{17}{14}\approx 1.214285714$$

Solution Steps

Divide \frac{3\times 5+2}{5} by \frac{2\times 5+4}{5} by multiplying \frac{3\times 5+2}{5} by the reciprocal of \frac{2\times 5+4}{5}.

$$\frac{\left(3\times 5+2\right)\times 5}{5\left(2\times 5+4\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2+3\times 5}{4+2\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{2+15}{4+2\times 5}$$

Add 2 and 15 to get 17.

$$\frac{17}{4+2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{17}{4+10}$$

Add 4 and 10 to get 14.

$$\frac{17}{14}$$

Factor

$$\frac{17}{2 \cdot 7} = 1\frac{3}{14} = 1.2142857142857142$$