Solve (12/2-9/15-18/20)

$$( \frac { 12 } { 2 } - \frac { 9 } { 15 } - \frac { 18 } { 20 } )$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide 12 by 2 to get 6.

$$6-\frac{9}{15}-\frac{18}{20}$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$6-\frac{3}{5}-\frac{18}{20}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{30}{5}-\frac{3}{5}-\frac{18}{20}$$

Since \frac{30}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-3}{5}-\frac{18}{20}$$

Subtract 3 from 30 to get 27.

$$\frac{27}{5}-\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{27}{5}-\frac{9}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{27}{5} and \frac{9}{10} to fractions with denominator 10.

$$\frac{54}{10}-\frac{9}{10}$$

Since \frac{54}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-9}{10}$$

Subtract 9 from 54 to get 45.

$$\frac{45}{10}$$

Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$