Solve (1/2+5/8)*16

$$( \frac { 1 } { 2 } + \frac { 5 } { 8 } ) \times 16$$

Evaluate

$$18$$

Solution Steps

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

$$\left(\frac{4}{8}+\frac{5}{8}\right)\times 16$$

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

$$\frac{4+5}{8}\times 16$$

Add 4 and 5 to get 9.

$$\frac{9}{8}\times 16$$

Express \frac{9}{8}\times 16 as a single fraction.

$$\frac{9\times 16}{8}$$

Multiply 9 and 16 to get 144.

$$\frac{144}{8}$$

Divide 144 by 8 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$