Solve -3/4+7/20+3/10

$$- \frac { 3 } { 4 } + \frac { 7 } { 20 } + \frac { 3 } { 10 }$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 20 is 20. Convert -\frac{3}{4} and \frac{7}{20} to fractions with denominator 20.

$$-\frac{15}{20}+\frac{7}{20}+\frac{3}{10}$$

Since -\frac{15}{20} and \frac{7}{20} have the same denominator, add them by adding their numerators.

$$\frac{-15+7}{20}+\frac{3}{10}$$

Add -15 and 7 to get -8.

$$\frac{-8}{20}+\frac{3}{10}$$

Reduce the fraction \frac{-8}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{2}{5}+\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{4}{10}+\frac{3}{10}$$

Since -\frac{4}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{-4+3}{10}$$

Add -4 and 3 to get -1.

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

Factor

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