Solve 43/4+23/8

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

Evaluate

$$\frac{57}{8}=7.125$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}+\frac{2\times 8+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{19}{4}+\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{19}{4}+\frac{16+3}{8}$$

Add 16 and 3 to get 19.

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

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

$$\frac{38}{8}+\frac{19}{8}$$

Since \frac{38}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.

$$\frac{38+19}{8}$$

Add 38 and 19 to get 57.

$$\frac{57}{8}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {3}} = 7\frac{1}{8} = 7.125$$