Solve 7/8-1/3-2/5

$$\frac { 7 } { 8 } - \frac { 1 } { 3 } - \frac { 2 } { 5 }$$

Evaluate

$$\frac{17}{120}\approx 0.141666667$$

Solution Steps

Least common multiple of 8 and 3 is 24. Convert \frac{7}{8} and \frac{1}{3} to fractions with denominator 24.

$$\frac{21}{24}-\frac{8}{24}-\frac{2}{5}$$

Since \frac{21}{24} and \frac{8}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{24}-\frac{2}{5}$$

Subtract 8 from 21 to get 13.

$$\frac{13}{24}-\frac{2}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{13}{24} and \frac{2}{5} to fractions with denominator 120.

$$\frac{65}{120}-\frac{48}{120}$$

Since \frac{65}{120} and \frac{48}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-48}{120}$$

Subtract 48 from 65 to get 17.

$$\frac{17}{120}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3 \cdot 5} = 0.14166666666666666$$