Solve 15+5div(3/6-1/8)

$$15 + 5 \div ( \frac { 3 } { 6 } - \frac { 1 } { 8 } )$$

Evaluate

$$\frac{85}{3}\approx 28.333333333$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$15+\frac{5}{\frac{1}{2}-\frac{1}{8}}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$15+\frac{5}{\frac{4}{8}-\frac{1}{8}}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$15+\frac{5}{\frac{4-1}{8}}$$

Subtract 1 from 4 to get 3.

$$15+\frac{5}{\frac{3}{8}}$$

Divide 5 by \frac{3}{8} by multiplying 5 by the reciprocal of \frac{3}{8}.

$$15+5\times \frac{8}{3}$$

Express 5\times \frac{8}{3} as a single fraction.

$$15+\frac{5\times 8}{3}$$

Multiply 5 and 8 to get 40.

$$15+\frac{40}{3}$$

Convert 15 to fraction \frac{45}{3}.

$$\frac{45}{3}+\frac{40}{3}$$

Since \frac{45}{3} and \frac{40}{3} have the same denominator, add them by adding their numerators.

$$\frac{45+40}{3}$$

Add 45 and 40 to get 85.

$$\frac{85}{3}$$

Factor

$$\frac{5 \cdot 17}{3} = 28\frac{1}{3} = 28.333333333333332$$