Solve 170/(1-15%)

$$\frac { 170 } { ( 1 - 15 \% ) }$$

Evaluate

$$200$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{170}{1-\frac{3}{20}}$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{170}{\frac{20}{20}-\frac{3}{20}}$$

Since \frac{20}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{170}{\frac{20-3}{20}}$$

Subtract 3 from 20 to get 17.

$$\frac{170}{\frac{17}{20}}$$

Divide 170 by \frac{17}{20} by multiplying 170 by the reciprocal of \frac{17}{20}.

$$170\times \frac{20}{17}$$

Express 170\times \frac{20}{17} as a single fraction.

$$\frac{170\times 20}{17}$$

Multiply 170 and 20 to get 3400.

$$\frac{3400}{17}$$

Divide 3400 by 17 to get 200.

$$200$$

Factor

$$2^{3}\times 5^{2}$$