Solve 3/8-2/7-2/3

$$\frac { 3 } { 8 } - \frac { 2 } { 7 } - \frac { 2 } { 3 }$$

Evaluate

$$-\frac{97}{168}\approx -0.577380952$$

Solution Steps

Least common multiple of 8 and 7 is 56. Convert \frac{3}{8} and \frac{2}{7} to fractions with denominator 56.

$$\frac{21}{56}-\frac{16}{56}-\frac{2}{3}$$

Since \frac{21}{56} and \frac{16}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-16}{56}-\frac{2}{3}$$

Subtract 16 from 21 to get 5.

$$\frac{5}{56}-\frac{2}{3}$$

Least common multiple of 56 and 3 is 168. Convert \frac{5}{56} and \frac{2}{3} to fractions with denominator 168.

$$\frac{15}{168}-\frac{112}{168}$$

Since \frac{15}{168} and \frac{112}{168} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-112}{168}$$

Subtract 112 from 15 to get -97.

$$-\frac{97}{168}$$

Factor

$$-\frac{97}{168} = -0.5773809523809523$$