Solve 20*[1-(1+15%)-5)]/15%

$$20 \times [ 1 - ( 1 + 15 \% ) - 5 ) ] / 15 \%$$

Evaluate

$$-103$$

Solution Steps

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

$$20\left(1-\left(1+\frac{3}{20}\right)-5\right)$$

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

$$20\left(1-\left(\frac{20}{20}+\frac{3}{20}\right)-5\right)$$

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

$$20\left(1-\frac{20+3}{20}-5\right)$$

Add 20 and 3 to get 23.

$$20\left(1-\frac{23}{20}-5\right)$$

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

$$20\left(\frac{20}{20}-\frac{23}{20}-5\right)$$

Since \frac{20}{20} and \frac{23}{20} have the same denominator, subtract them by subtracting their numerators.

$$20\left(\frac{20-23}{20}-5\right)$$

Subtract 23 from 20 to get -3.

$$20\left(-\frac{3}{20}-5\right)$$

Convert 5 to fraction \frac{100}{20}.

$$20\left(-\frac{3}{20}-\frac{100}{20}\right)$$

Since -\frac{3}{20} and \frac{100}{20} have the same denominator, subtract them by subtracting their numerators.

$$20\times \frac{-3-100}{20}$$

Subtract 100 from -3 to get -103.

$$20\left(-\frac{103}{20}\right)$$

Cancel out 20 and 20.

$$-103$$

Factor

$$-103$$