Solve 15/6-1/2-1/8)div5/8

$$1 \frac { 5 } { 6 } - \frac { 1 } { 2 } - \frac { 1 } { 8 } ) \div \frac { 5 } { 8 }$$

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+5}{6}-\frac{1}{2}-\frac{1}{8}$$

Add 6 and 5 to get 11.

$$\frac{11}{6}-\frac{1}{2}-\frac{1}{8}$$

Least common multiple of 6 and 2 is 6. Convert \frac{11}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{11}{6}-\frac{3}{6}-\frac{1}{8}$$

Since \frac{11}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3}{6}-\frac{1}{8}$$

Subtract 3 from 11 to get 8.

$$\frac{8}{6}-\frac{1}{8}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 8 is 24. Convert \frac{4}{3} and \frac{1}{8} to fractions with denominator 24.

$$\frac{32}{24}-\frac{3}{24}$$

Since \frac{32}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-3}{24}$$

Subtract 3 from 32 to get 29.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$