Solve 32div(1-1/5)=

$$32 \div ( 1 - \frac { 1 } { 5 } ) =$$

Evaluate

$$40$$

Solution Steps

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

$$\frac{32}{\frac{5}{5}-\frac{1}{5}}$$

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

$$\frac{32}{\frac{5-1}{5}}$$

Subtract 1 from 5 to get 4.

$$\frac{32}{\frac{4}{5}}$$

Divide 32 by \frac{4}{5} by multiplying 32 by the reciprocal of \frac{4}{5}.

$$32\times \frac{5}{4}$$

Express 32\times \frac{5}{4} as a single fraction.

$$\frac{32\times 5}{4}$$

Multiply 32 and 5 to get 160.

$$\frac{160}{4}$$

Divide 160 by 4 to get 40.

$$40$$

Factor

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