Solve 3div(1/2+5/8)

$$3 \div ( \frac { 1 } { 2 } + \frac { 5 } { 8 } )$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{5}{8} to fractions with denominator 8.

$$\frac{3}{\frac{4}{8}+\frac{5}{8}}$$

Since \frac{4}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{\frac{4+5}{8}}$$

Add 4 and 5 to get 9.

$$\frac{3}{\frac{9}{8}}$$

Divide 3 by \frac{9}{8} by multiplying 3 by the reciprocal of \frac{9}{8}.

$$3\times \frac{8}{9}$$

Express 3\times \frac{8}{9} as a single fraction.

$$\frac{3\times 8}{9}$$

Multiply 3 and 8 to get 24.

$$\frac{24}{9}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$