Solve -3/5+5/20-12/10+13/4-frac{9}{5}=

$$\frac { - 3 } { 5 } + \frac { 5 } { 20 } - \frac { 12 } { 10 } + \frac { 13 } { 4 } - \frac { 9 } { 5 } =$$

Evaluate

$$-\frac{1}{10}=-0.1$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}+\frac{5}{20}-\frac{12}{10}+\frac{13}{4}-\frac{9}{5}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{5}+\frac{1}{4}-\frac{12}{10}+\frac{13}{4}-\frac{9}{5}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{12}{20}+\frac{5}{20}-\frac{12}{10}+\frac{13}{4}-\frac{9}{5}$$

Since -\frac{12}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{-12+5}{20}-\frac{12}{10}+\frac{13}{4}-\frac{9}{5}$$

Add -12 and 5 to get -7.

$$-\frac{7}{20}-\frac{12}{10}+\frac{13}{4}-\frac{9}{5}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{20}-\frac{6}{5}+\frac{13}{4}-\frac{9}{5}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{7}{20} and \frac{6}{5} to fractions with denominator 20.

$$-\frac{7}{20}-\frac{24}{20}+\frac{13}{4}-\frac{9}{5}$$

Since -\frac{7}{20} and \frac{24}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-24}{20}+\frac{13}{4}-\frac{9}{5}$$

Subtract 24 from -7 to get -31.

$$-\frac{31}{20}+\frac{13}{4}-\frac{9}{5}$$

Least common multiple of 20 and 4 is 20. Convert -\frac{31}{20} and \frac{13}{4} to fractions with denominator 20.

$$-\frac{31}{20}+\frac{65}{20}-\frac{9}{5}$$

Since -\frac{31}{20} and \frac{65}{20} have the same denominator, add them by adding their numerators.

$$\frac{-31+65}{20}-\frac{9}{5}$$

Add -31 and 65 to get 34.

$$\frac{34}{20}-\frac{9}{5}$$

Reduce the fraction \frac{34}{20} to lowest terms by extracting and canceling out 2.

$$\frac{17}{10}-\frac{9}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{17}{10} and \frac{9}{5} to fractions with denominator 10.

$$\frac{17}{10}-\frac{18}{10}$$

Since \frac{17}{10} and \frac{18}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-18}{10}$$

Subtract 18 from 17 to get -1.

$$-\frac{1}{10}$$

Factor

$$-\frac{1}{10} = -0.1$$