Solve 131/8+213/4

$$13 \frac { 1 } { 8 } + 21 \frac { 3 } { 4 }$$

Evaluate

$$\frac{279}{8}=34.875$$

Solution Steps

Multiply 13 and 8 to get 104.

$$\frac{104+1}{8}+\frac{21\times 4+3}{4}$$

Add 104 and 1 to get 105.

$$\frac{105}{8}+\frac{21\times 4+3}{4}$$

Multiply 21 and 4 to get 84.

$$\frac{105}{8}+\frac{84+3}{4}$$

Add 84 and 3 to get 87.

$$\frac{105}{8}+\frac{87}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{105}{8} and \frac{87}{4} to fractions with denominator 8.

$$\frac{105}{8}+\frac{174}{8}$$

Since \frac{105}{8} and \frac{174}{8} have the same denominator, add them by adding their numerators.

$$\frac{105+174}{8}$$

Add 105 and 174 to get 279.

$$\frac{279}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 31}{2 ^ {3}} = 34\frac{7}{8} = 34.875$$