Solve 7/8+15/4+3

$$\frac { 7 } { 8 } + \frac { 15 } { 4 } + 3$$

Evaluate

$$\frac{61}{8}=7.625$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{15}{4} to fractions with denominator 8.

$$\frac{7}{8}+\frac{30}{8}+3$$

Since \frac{7}{8} and \frac{30}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+30}{8}+3$$

Add 7 and 30 to get 37.

$$\frac{37}{8}+3$$

Convert 3 to fraction \frac{24}{8}.

$$\frac{37}{8}+\frac{24}{8}$$

Since \frac{37}{8} and \frac{24}{8} have the same denominator, add them by adding their numerators.

$$\frac{37+24}{8}$$

Add 37 and 24 to get 61.

$$\frac{61}{8}$$

Factor

$$\frac{61}{2 ^ {3}} = 7\frac{5}{8} = 7.625$$