Solve 7/10+(-3/20)-(-5/4)

$$\frac { 7 } { 10 } + ( - \frac { 3 } { 20 } ) - ( - \frac { 5 } { 4 } )$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Least common multiple of 10 and 20 is 20. Convert \frac{7}{10} and \frac{3}{20} to fractions with denominator 20.

$$\frac{14}{20}-\frac{3}{20}-\left(-\frac{5}{4}\right)$$

Since \frac{14}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-3}{20}-\left(-\frac{5}{4}\right)$$

Subtract 3 from 14 to get 11.

$$\frac{11}{20}-\left(-\frac{5}{4}\right)$$

The opposite of -\frac{5}{4} is \frac{5}{4}.

$$\frac{11}{20}+\frac{5}{4}$$

Least common multiple of 20 and 4 is 20. Convert \frac{11}{20} and \frac{5}{4} to fractions with denominator 20.

$$\frac{11}{20}+\frac{25}{20}$$

Since \frac{11}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{11+25}{20}$$

Add 11 and 25 to get 36.

$$\frac{36}{20}$$

Reduce the fraction \frac{36}{20} to lowest terms by extracting and canceling out 4.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$