Solve 81/4+69/8

$$8 \frac { 1 } { 4 } + 6 \frac { 9 } { 8 }$$

Evaluate

$$\frac{123}{8}=15.375$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}+\frac{6\times 8+9}{8}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}+\frac{6\times 8+9}{8}$$

Multiply 6 and 8 to get 48.

$$\frac{33}{4}+\frac{48+9}{8}$$

Add 48 and 9 to get 57.

$$\frac{33}{4}+\frac{57}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{33}{4} and \frac{57}{8} to fractions with denominator 8.

$$\frac{66}{8}+\frac{57}{8}$$

Since \frac{66}{8} and \frac{57}{8} have the same denominator, add them by adding their numerators.

$$\frac{66+57}{8}$$

Add 66 and 57 to get 123.

$$\frac{123}{8}$$

Factor

$$\frac{3 \cdot 41}{2 ^ {3}} = 15\frac{3}{8} = 15.375$$