Solve 120div(1+15%)

$$120 \div (1+15 \% )$$

Evaluate

$$\frac{2400}{23}\approx 104.347826087$$

Solution Steps

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

$$\frac{120}{1+\frac{3}{20}}$$

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

$$\frac{120}{\frac{20}{20}+\frac{3}{20}}$$

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

$$\frac{120}{\frac{20+3}{20}}$$

Add 20 and 3 to get 23.

$$\frac{120}{\frac{23}{20}}$$

Divide 120 by \frac{23}{20} by multiplying 120 by the reciprocal of \frac{23}{20}.

$$120\times \frac{20}{23}$$

Express 120\times \frac{20}{23} as a single fraction.

$$\frac{120\times 20}{23}$$

Multiply 120 and 20 to get 2400.

$$\frac{2400}{23}$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 ^ {2}}{23} = 104\frac{8}{23} = 104.34782608695652$$