Solve 48div(1+20%)

$$48 \div (1+20 \% )$$

Evaluate

$$40$$

Solution Steps

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

$$\frac{48}{1+\frac{1}{5}}$$

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

$$\frac{48}{\frac{5}{5}+\frac{1}{5}}$$

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

$$\frac{48}{\frac{5+1}{5}}$$

Add 5 and 1 to get 6.

$$\frac{48}{\frac{6}{5}}$$

Divide 48 by \frac{6}{5} by multiplying 48 by the reciprocal of \frac{6}{5}.

$$48\times \frac{5}{6}$$

Express 48\times \frac{5}{6} as a single fraction.

$$\frac{48\times 5}{6}$$

Multiply 48 and 5 to get 240.

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

Divide 240 by 6 to get 40.

$$40$$

Factor

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