Solve 3/8+5/2-3/4

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

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{5}{2} to fractions with denominator 8.

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

Since \frac{3}{8} and \frac{20}{8} have the same denominator, add them by adding their numerators.

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

Add 3 and 20 to get 23.

$$\frac{23}{8}-\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{23}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{23}{8}-\frac{6}{8}$$

Since \frac{23}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-6}{8}$$

Subtract 6 from 23 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$