Solve 22.5-33/8

$$22.5 - 3 \frac { 3 } { 8 }$$

Evaluate

$$19.125$$

Solution Steps

Multiply 3 and 8 to get 24.

$$22.5-\frac{24+3}{8}$$

Add 24 and 3 to get 27.

$$22.5-\frac{27}{8}$$

Convert decimal number 22.5 to fraction \frac{225}{10}. Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$\frac{45}{2}-\frac{27}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{45}{2} and \frac{27}{8} to fractions with denominator 8.

$$\frac{180}{8}-\frac{27}{8}$$

Since \frac{180}{8} and \frac{27}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180-27}{8}$$

Subtract 27 from 180 to get 153.

$$\frac{153}{8}$$

Factor

$$\frac{17 \cdot 3 ^ {2}}{2 ^ {3}} = 19\frac{1}{8} = 19.125$$