Solve 20(4/3-5/6)=

$$20 ( \frac { 4 } { 3 } - \frac { 5 } { 6 } ) =$$

Evaluate

$$10$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{5}{6} to fractions with denominator 6.

$$20\left(\frac{8}{6}-\frac{5}{6}\right)$$

Since \frac{8}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$20\times \frac{8-5}{6}$$

Subtract 5 from 8 to get 3.

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

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$20\times \frac{1}{2}$$

Multiply 20 and \frac{1}{2} to get \frac{20}{2}.

$$\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$10$$

Factor

$$2\times 5$$