Solve 23/4-15/8

$$2 \frac{ 3 }{ 4 } -1 \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\frac{1\times 8+5}{8}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{11}{4}-\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{11}{4}-\frac{13}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{11}{4} and \frac{13}{8} to fractions with denominator 8.

$$\frac{22}{8}-\frac{13}{8}$$

Since \frac{22}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-13}{8}$$

Subtract 13 from 22 to get 9.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$