Sum of  

2/3

and

1/5

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 3 and 5:
LCD = LCM(3, 5) = 15
Express the given fractions as equivalent fractions with respect to the LCD (15):
=   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 13 and 15 equals 1, GCF(13, 15) = 1Therefore, the Sum of  

2/3

and

1/5

is equal to

13/15

in Simplest Form:  

2/3

+

1/5

=

13/15