Sum of  

1/6

and

65/9

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 6 and 9:
LCD = LCM(6, 9) = 18
Express the given fractions as equivalent fractions with respect to the LCD (18):
=   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 18 and 133 equals 1, GCF(18, 133) = 1Therefore, the Sum of  

1/6

and

65/9

is equal to

133/18

in Simplest Form:  

1/6

+

65/9

=

133/18

Note: is an improper fraction, and as a mixed number,   = 7