Solve 31/2-7/8

$$3 \frac { 1 } { 2 } - \frac { 7 } { 8 }$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}-\frac{7}{8}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}-\frac{7}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{7}{2} and \frac{7}{8} to fractions with denominator 8.

$$\frac{28}{8}-\frac{7}{8}$$

Since \frac{28}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-7}{8}$$

Subtract 7 from 28 to get 21.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$