Sum of  

-2/3

and

3/4

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 4:
LCD = LCM(3, 4) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
=   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 1 and 12 equals 1, GCF(1, 12) = 1Therefore, the Sum of  

-2/3

and

3/4

is equal to

1/12

in Simplest Form:  

-2/3

+

3/4

=

1/12

Note:   + = −