Solve 82/5div102/25

$$8 \frac { 2 } { 5 } \div 10 \frac { 2 } { 25 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide \frac{8\times 5+2}{5} by \frac{10\times 25+2}{25} by multiplying \frac{8\times 5+2}{5} by the reciprocal of \frac{10\times 25+2}{25}.

$$\frac{\left(8\times 5+2\right)\times 25}{5\left(10\times 25+2\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{5\left(2+5\times 8\right)}{2+10\times 25}$$

Multiply 5 and 8 to get 40.

$$\frac{5\left(2+40\right)}{2+10\times 25}$$

Add 2 and 40 to get 42.

$$\frac{5\times 42}{2+10\times 25}$$

Multiply 5 and 42 to get 210.

$$\frac{210}{2+10\times 25}$$

Multiply 10 and 25 to get 250.

$$\frac{210}{2+250}$$

Add 2 and 250 to get 252.

$$\frac{210}{252}$$

Reduce the fraction \frac{210}{252} to lowest terms by extracting and canceling out 42.

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

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$