Solve 3/4-1/2+9/8

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

Evaluate

$$\frac{11}{8}=1.375$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

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

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{2}{8}+\frac{9}{8}$$

Since \frac{2}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{8}$$

Add 2 and 9 to get 11.

$$\frac{11}{8}$$

Factor

$$\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375$$