Sum of  

-4/100

and

4/58

in Simplest Form

Given:   + , which equals   +   (both fractions simplified)
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 25 and 29:
LCD = LCM(25, 29) = 725
Express the given fractions as equivalent fractions with respect to the LCD (725):
=   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 21 and 725 equals 1, GCF(21, 725) = 1Therefore, the Sum of  

-4/100

and

4/58

is equal to

21/725

in Simplest Form:  

-4/100

+

4/58

=

21/725

Note:   + = −