Solve 21/4+11/8

$$2 \frac { 1 } { 4 } + 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{1\times 8+1}{8}$$

Add 8 and 1 to get 9.

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

Multiply 1 and 8 to get 8.

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

Add 8 and 1 to get 9.

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

Least common multiple of 4 and 8 is 8. Convert \frac{9}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{18}{8}+\frac{9}{8}$$

Since \frac{18}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{18+9}{8}$$

Add 18 and 9 to get 27.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$