Solve L=20(5/6-2/15-3/5)

$$L = 20 ( \frac { 5 } { 6 } - \frac { 2 } { 15 } - \frac { 3 } { 5 } )$$

Solve for L

$$L=2$$

Steps for Solving Linear Equation

Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{2}{15} to fractions with denominator 30.

$$L=20\left(\frac{25}{30}-\frac{4}{30}-\frac{3}{5}\right)$$

Since \frac{25}{30} and \frac{4}{30} have the same denominator, subtract them by subtracting their numerators.

$$L=20\left(\frac{25-4}{30}-\frac{3}{5}\right)$$

Subtract 4 from 25 to get 21.

$$L=20\left(\frac{21}{30}-\frac{3}{5}\right)$$

Reduce the fraction \frac{21}{30} to lowest terms by extracting and canceling out 3.

$$L=20\left(\frac{7}{10}-\frac{3}{5}\right)$$

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{3}{5} to fractions with denominator 10.

$$L=20\left(\frac{7}{10}-\frac{6}{10}\right)$$

Since \frac{7}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$L=20\times \frac{7-6}{10}$$

Subtract 6 from 7 to get 1.

$$L=20\times \frac{1}{10}$$

Multiply 20 and \frac{1}{10} to get \frac{20}{10}.

$$L=\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$L=2$$

Assign L

$$L≔2$$