Sum of  

-1/4

and

5/9

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 4 and 9:
LCD = LCM(4, 9) = 36
Express the given fractions as equivalent fractions with respect to the LCD (36):
=   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 36 equals 1, GCF(11, 36) = 1Therefore, the Sum of  

-1/4

and

5/9

is equal to

11/36

in Simplest Form:  

-1/4

+

5/9

=

11/36

Note:   + = −