Sum of  
-3/4
and
4/3
in Simplest Form

Given:  
-3/4
+
4/3

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):
-3/4
=
-9/12
  and  
4/3
=
16/12
As a result,  
-3/4
+
4/3
=
-9/12
+
16/12

Since the equivalent fractions have common denominators, we can add the numerators:
-9/12
+
16/12
=
-9 + 16/12
=
7/12
7/12
is in Simplest Form since the Greatest Common Factor of 7 and 12 equals 1, GCF(7, 12) = 1
Therefore, the Sum of  
-3/4
and
4/3
is equal to
7/12
in Simplest Form:  
-3/4
+
4/3
=
7/12
Note:  
-3/4
+
4/3
=
4/3
−
3/4

The solution above and other related solutions were provided by the Sum of Fractions Application.

Find the Sum of Fractions in Simplest Form

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