Solve 32/32+180-16/16+162

$$\frac { 32 } { 32 + 180 } - \frac { 16 } { 16 + 162 }$$

Evaluate

$$\frac{288}{4717}\approx 0.061055756$$

Solution Steps

Add 32 and 180 to get 212.

$$\frac{32}{212}-\frac{16}{16+162}$$

Reduce the fraction \frac{32}{212} to lowest terms by extracting and canceling out 4.

$$\frac{8}{53}-\frac{16}{16+162}$$

Add 16 and 162 to get 178.

$$\frac{8}{53}-\frac{16}{178}$$

Reduce the fraction \frac{16}{178} to lowest terms by extracting and canceling out 2.

$$\frac{8}{53}-\frac{8}{89}$$

Least common multiple of 53 and 89 is 4717. Convert \frac{8}{53} and \frac{8}{89} to fractions with denominator 4717.

$$\frac{712}{4717}-\frac{424}{4717}$$

Since \frac{712}{4717} and \frac{424}{4717} have the same denominator, subtract them by subtracting their numerators.

$$\frac{712-424}{4717}$$

Subtract 424 from 712 to get 288.

$$\frac{288}{4717}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2}}{53 \cdot 89} = 0.06105575577697689$$