Solve 7/5-1/2-3/10-32/20

$$\frac{ 7 }{ 5 } - \frac{ 1 }{ 2 } - \frac{ 3 }{ 10 } - \frac{ 32 }{ 20 }$$

Evaluate

$$-1$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{7}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{14}{10}-\frac{5}{10}-\frac{3}{10}-\frac{32}{20}$$

Since \frac{14}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-5}{10}-\frac{3}{10}-\frac{32}{20}$$

Subtract 5 from 14 to get 9.

$$\frac{9}{10}-\frac{3}{10}-\frac{32}{20}$$

Since \frac{9}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-3}{10}-\frac{32}{20}$$

Subtract 3 from 9 to get 6.

$$\frac{6}{10}-\frac{32}{20}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}-\frac{32}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}-\frac{8}{5}$$

Since \frac{3}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{5}$$

Subtract 8 from 3 to get -5.

$$\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$-1$$

Factor

$$-1$$