Solve 20*(2-2/20)

$$20 \times ( 2 - \frac { 2 } { 20 } )$$

Evaluate

$$38$$

Solution Steps

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$20\left(2-\frac{1}{10}\right)$$

Convert 2 to fraction \frac{20}{10}.

$$20\left(\frac{20}{10}-\frac{1}{10}\right)$$

Since \frac{20}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$20\times \frac{20-1}{10}$$

Subtract 1 from 20 to get 19.

$$20\times \frac{19}{10}$$

Express 20\times \frac{19}{10} as a single fraction.

$$\frac{20\times 19}{10}$$

Multiply 20 and 19 to get 380.

$$\frac{380}{10}$$

Divide 380 by 10 to get 38.

$$38$$

Factor

$$2\times 19$$