Solve (5/8+15/4)+5=

$$( \frac { 5 } { 8 } + \frac { 15 } { 4 } ) + 5 =$$

Evaluate

$$\frac{75}{8}=9.375$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{5}{8} and \frac{15}{4} to fractions with denominator 8.

$$\frac{5}{8}+\frac{30}{8}+5$$

Since \frac{5}{8} and \frac{30}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+30}{8}+5$$

Add 5 and 30 to get 35.

$$\frac{35}{8}+5$$

Convert 5 to fraction \frac{40}{8}.

$$\frac{35}{8}+\frac{40}{8}$$

Since \frac{35}{8} and \frac{40}{8} have the same denominator, add them by adding their numerators.

$$\frac{35+40}{8}$$

Add 35 and 40 to get 75.

$$\frac{75}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {3}} = 9\frac{3}{8} = 9.375$$