Sum of  

7/9

and

2/3

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 9:
LCD = LCM(3, 9) = 9
Express the given fractions as equivalent fractions with respect to the LCD (9):
=   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 9 and 13 equals 1, GCF(9, 13) = 1Therefore, the Sum of  

7/9

and

2/3

is equal to

13/9

in Simplest Form:  

7/9

+

2/3

=

13/9

Note: is an improper fraction, and as a mixed number,   = 1