Solve 21/2+15/8=

$$2 \frac { 1 } { 2 } + 1 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{33}{8}=4.125$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{1\times 8+5}{8}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{5}{2}+\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{5}{2}+\frac{13}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{5}{2} and \frac{13}{8} to fractions with denominator 8.

$$\frac{20}{8}+\frac{13}{8}$$

Since \frac{20}{8} and \frac{13}{8} have the same denominator, add them by adding their numerators.

$$\frac{20+13}{8}$$

Add 20 and 13 to get 33.

$$\frac{33}{8}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$$