Solve 8/3-7/5-7/6

$$\frac { 8 } { 3 } - \frac { 7 } { 5 } - \frac { 7 } { 6 }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{8}{3} and \frac{7}{5} to fractions with denominator 15.

$$\frac{40}{15}-\frac{21}{15}-\frac{7}{6}$$

Since \frac{40}{15} and \frac{21}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-21}{15}-\frac{7}{6}$$

Subtract 21 from 40 to get 19.

$$\frac{19}{15}-\frac{7}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{19}{15} and \frac{7}{6} to fractions with denominator 30.

$$\frac{38}{30}-\frac{35}{30}$$

Since \frac{38}{30} and \frac{35}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-35}{30}$$

Subtract 35 from 38 to get 3.

$$\frac{3}{30}$$

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

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$