Sum of  

4/9

and

6/15

in Simplest Form

Given:   + , which equals   +   (second fraction 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 5 and 9:
LCD = LCM(5, 9) = 45
Express the given fractions as equivalent fractions with respect to the LCD (45):
=   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 38 and 45 equals 1, GCF(38, 45) = 1Therefore, the Sum of  

4/9

and

6/15

is equal to

38/45

in Simplest Form:  

4/9

+

6/15

=

38/45