Solve 132/5-9/10

$$13 \frac { 2 } { 5 } - \frac { 9 } { 10 }$$

Evaluate

$$\frac{25}{2}=12.5$$

Solution Steps

Multiply 13 and 5 to get 65.

$$\frac{65+2}{5}-\frac{9}{10}$$

Add 65 and 2 to get 67.

$$\frac{67}{5}-\frac{9}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{67}{5} and \frac{9}{10} to fractions with denominator 10.

$$\frac{134}{10}-\frac{9}{10}$$

Since \frac{134}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{134-9}{10}$$

Subtract 9 from 134 to get 125.

$$\frac{125}{10}$$

Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$