Solve 3/8+4/16+7

$$\frac { 3 } { 8 } + \frac { 4 } { 16 } + 7$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{8}+\frac{1}{4}+7$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{3}{8}+\frac{2}{8}+7$$

Since \frac{3}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{8}+7$$

Add 3 and 2 to get 5.

$$\frac{5}{8}+7$$

Convert 7 to fraction \frac{56}{8}.

$$\frac{5}{8}+\frac{56}{8}$$

Since \frac{5}{8} and \frac{56}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+56}{8}$$

Add 5 and 56 to get 61.

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

Factor

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