Solve 200-180/180/frac{12-10{10}}

$$\frac{ \frac{ 200-180 }{ 180 } }{ \frac{ 12-10 }{ 10 } }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Divide \frac{200-180}{180} by \frac{12-10}{10} by multiplying \frac{200-180}{180} by the reciprocal of \frac{12-10}{10}.

$$\frac{\left(200-180\right)\times 10}{180\left(12-10\right)}$$

Cancel out 10 in both numerator and denominator.

$$\frac{200-180}{18\left(12-10\right)}$$

Subtract 180 from 200 to get 20.

$$\frac{20}{18\left(12-10\right)}$$

Subtract 10 from 12 to get 2.

$$\frac{20}{18\times 2}$$

Multiply 18 and 2 to get 36.

$$\frac{20}{36}$$

Reduce the fraction \frac{20}{36} to lowest terms by extracting and canceling out 4.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$