Sum of  

5/9

and

6/7

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 7 and 9:
LCD = LCM(7, 9) = 63
Express the given fractions as equivalent fractions with respect to the LCD (63):
=   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 63 and 89 equals 1, GCF(63, 89) = 1Therefore, the Sum of  

5/9

and

6/7

is equal to

89/63

in Simplest Form:  

5/9

+

6/7

=

89/63

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