Sum of  

1/2

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 2 and 3:
LCD = LCM(2, 3) = 6
Express the given fractions as equivalent fractions with respect to the LCD (6):
=   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 6 and 7 equals 1, GCF(6, 7) = 1Therefore, the Sum of  

1/2

and

2/3

is equal to

7/6

in Simplest Form:  

1/2

+

2/3

=

7/6

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