Solve 4/3-1/2-8/15

$$\frac { 4 } { 3 } - \frac { 1 } { 2 } - \frac { 8 } { 15 }$$

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{8}{6}-\frac{3}{6}-\frac{8}{15}$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{6}-\frac{8}{15}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{6}-\frac{8}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{8}{15} to fractions with denominator 30.

$$\frac{25}{30}-\frac{16}{30}$$

Since \frac{25}{30} and \frac{16}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-16}{30}$$

Subtract 16 from 25 to get 9.

$$\frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$