Solve -13/28-(-17/20)

$$- \frac { 13 } { 28 } - ( - \frac { 17 } { 20 } )$$

Evaluate

$$\frac{27}{70}\approx 0.385714286$$

Solution Steps

The opposite of -\frac{17}{20} is \frac{17}{20}.

$$-\frac{13}{28}+\frac{17}{20}$$

Least common multiple of 28 and 20 is 140. Convert -\frac{13}{28} and \frac{17}{20} to fractions with denominator 140.

$$-\frac{65}{140}+\frac{119}{140}$$

Since -\frac{65}{140} and \frac{119}{140} have the same denominator, add them by adding their numerators.

$$\frac{-65+119}{140}$$

Add -65 and 119 to get 54.

$$\frac{54}{140}$$

Reduce the fraction \frac{54}{140} to lowest terms by extracting and canceling out 2.

$$\frac{27}{70}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5 \cdot 7} = 0.38571428571428573$$