Solve 3/4+-2/5+-7/10=

$$\frac { 3 } { 4 } + \frac { - 2 } { 5 } + \frac { - 7 } { 10 } =$$

Evaluate

$$-\frac{7}{20}=-0.35$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{3}{4}-\frac{2}{5}+\frac{-7}{10}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{8}{20}+\frac{-7}{10}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{20}+\frac{-7}{10}$$

Subtract 8 from 15 to get 7.

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

Fraction \frac{-7}{10} can be rewritten as -\frac{7}{10} by extracting the negative sign.

$$\frac{7}{20}-\frac{7}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{7}{20} and \frac{7}{10} to fractions with denominator 20.

$$\frac{7}{20}-\frac{14}{20}$$

Since \frac{7}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-14}{20}$$

Subtract 14 from 7 to get -7.

$$-\frac{7}{20}$$

Factor

$$-\frac{7}{20} = -0.35$$