Solve 240div(1+20%)

$$240 \div (1+20 \% )$$

Evaluate

$$200$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{240}{1+\frac{1}{5}}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{240}{\frac{5}{5}+\frac{1}{5}}$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{240}{\frac{5+1}{5}}$$

Add 5 and 1 to get 6.

$$\frac{240}{\frac{6}{5}}$$

Divide 240 by \frac{6}{5} by multiplying 240 by the reciprocal of \frac{6}{5}.

$$240\times \frac{5}{6}$$

Express 240\times \frac{5}{6} as a single fraction.

$$\frac{240\times 5}{6}$$

Multiply 240 and 5 to get 1200.

$$\frac{1200}{6}$$

Divide 1200 by 6 to get 200.

$$200$$

Factor

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