Solve 20*(1-1/2-1/5)=6

$$20 \times ( 1 - \frac { 1 } { 2 } - \frac { 1 } { 5 } ) = 6$$

Verify

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$20\left(\frac{2}{2}-\frac{1}{2}-\frac{1}{5}\right)=6$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$20\left(\frac{2-1}{2}-\frac{1}{5}\right)=6$$

Subtract 1 from 2 to get 1.

$$20\left(\frac{1}{2}-\frac{1}{5}\right)=6$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$20\left(\frac{5}{10}-\frac{2}{10}\right)=6$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$20\times \frac{5-2}{10}=6$$

Subtract 2 from 5 to get 3.

$$20\times \frac{3}{10}=6$$

Express 20\times \frac{3}{10} as a single fraction.

$$\frac{20\times 3}{10}=6$$

Multiply 20 and 3 to get 60.

$$\frac{60}{10}=6$$

Divide 60 by 10 to get 6.

$$6=6$$

Compare 6 and 6.

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