Sum of  

-2/5

and

5/7

in Simplest Form

Given:   +
Since the denominators are not common (not the same), we need to find the Least Common Denominator (LCD), which is equivalent to the Least Common Multiple of 5 and 7:
LCD = LCM(5, 7) = 35
Express the given fractions as equivalent fractions with respect to the LCD (35):
=   and   = As a result,   + = +
Since the equivalent fractions have common denominators, we can add the numerators:
+ = = is in Simplest Form since the Greatest Common Factor of 11 and 35 equals 1, GCF(11, 35) = 1Therefore, the Sum of  

-2/5

and

5/7

is equal to

11/35

in Simplest Form:  

-2/5

+

5/7

=

11/35

Note:   + = −