Solve 271/4+133/8

$$27 \frac { 1 } { 4 } + 13 \frac { 3 } { 8 }$$

Evaluate

$$\frac{325}{8}=40.625$$

Solution Steps

Multiply 27 and 4 to get 108.

$$\frac{108+1}{4}+\frac{13\times 8+3}{8}$$

Add 108 and 1 to get 109.

$$\frac{109}{4}+\frac{13\times 8+3}{8}$$

Multiply 13 and 8 to get 104.

$$\frac{109}{4}+\frac{104+3}{8}$$

Add 104 and 3 to get 107.

$$\frac{109}{4}+\frac{107}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{109}{4} and \frac{107}{8} to fractions with denominator 8.

$$\frac{218}{8}+\frac{107}{8}$$

Since \frac{218}{8} and \frac{107}{8} have the same denominator, add them by adding their numerators.

$$\frac{218+107}{8}$$

Add 218 and 107 to get 325.

$$\frac{325}{8}$$

Factor

$$\frac{5 ^ {2} \cdot 13}{2 ^ {3}} = 40\frac{5}{8} = 40.625$$