Solve -5/8+1/10+3/4

$$- \frac { 5 } { 8 } + \frac { 1 } { 10 } + \frac { 3 } { 4 }$$

Evaluate

$$\frac{9}{40}=0.225$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert -\frac{5}{8} and \frac{1}{10} to fractions with denominator 40.

$$-\frac{25}{40}+\frac{4}{40}+\frac{3}{4}$$

Since -\frac{25}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{-25+4}{40}+\frac{3}{4}$$

Add -25 and 4 to get -21.

$$-\frac{21}{40}+\frac{3}{4}$$

Least common multiple of 40 and 4 is 40. Convert -\frac{21}{40} and \frac{3}{4} to fractions with denominator 40.

$$-\frac{21}{40}+\frac{30}{40}$$

Since -\frac{21}{40} and \frac{30}{40} have the same denominator, add them by adding their numerators.

$$\frac{-21+30}{40}$$

Add -21 and 30 to get 9.

$$\frac{9}{40}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3} \cdot 5} = 0.225$$