Solve 81/4+65/8

$$8 \frac { 1 } { 4 } + 6 \frac { 5 } { 8 }$$

Evaluate

$$\frac{119}{8}=14.875$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}+\frac{6\times 8+5}{8}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}+\frac{6\times 8+5}{8}$$

Multiply 6 and 8 to get 48.

$$\frac{33}{4}+\frac{48+5}{8}$$

Add 48 and 5 to get 53.

$$\frac{33}{4}+\frac{53}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{33}{4} and \frac{53}{8} to fractions with denominator 8.

$$\frac{66}{8}+\frac{53}{8}$$

Since \frac{66}{8} and \frac{53}{8} have the same denominator, add them by adding their numerators.

$$\frac{66+53}{8}$$

Add 66 and 53 to get 119.

$$\frac{119}{8}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {3}} = 14\frac{7}{8} = 14.875$$