Solve 23/8+53/4

$$2 \frac { 3 } { 8 } + 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{65}{8}=8.125$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+3}{8}+\frac{5\times 4+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{19}{8}+\frac{5\times 4+3}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{19}{8}+\frac{20+3}{4}$$

Add 20 and 3 to get 23.

$$\frac{19}{8}+\frac{23}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{19}{8} and \frac{23}{4} to fractions with denominator 8.

$$\frac{19}{8}+\frac{46}{8}$$

Since \frac{19}{8} and \frac{46}{8} have the same denominator, add them by adding their numerators.

$$\frac{19+46}{8}$$

Add 19 and 46 to get 65.

$$\frac{65}{8}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3}} = 8\frac{1}{8} = 8.125$$