Solve 91/4+23/8

$$9 \frac { 1 } { 4 } + 2 \frac { 3 } { 8 }$$

Evaluate

$$\frac{93}{8}=11.625$$

Solution Steps

Multiply 9 and 4 to get 36.

$$\frac{36+1}{4}+\frac{2\times 8+3}{8}$$

Add 36 and 1 to get 37.

$$\frac{37}{4}+\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{37}{4}+\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{37}{4}+\frac{19}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{37}{4} and \frac{19}{8} to fractions with denominator 8.

$$\frac{74}{8}+\frac{19}{8}$$

Since \frac{74}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.

$$\frac{74+19}{8}$$

Add 74 and 19 to get 93.

$$\frac{93}{8}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {3}} = 11\frac{5}{8} = 11.625$$