Sum of  
-1/2
and
3/4
in Simplest Form

Given:  
-1/2
+
3/4

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 4:
LCD = LCM(2, 4) = 4
Express the given fractions as equivalent fractions with respect to the LCD (4):
-1/2
=
-2/4
  and  
3/4
=
3/4
As a result,  
-1/2
+
3/4
=
-2/4
+
3/4

Since the equivalent fractions have common denominators, we can add the numerators:
-2/4
+
3/4
=
-2 + 3/4
=
1/4
1/4
is in Simplest Form since the Greatest Common Factor of 1 and 4 equals 1, GCF(1, 4) = 1
Therefore, the Sum of  
-1/2
and
3/4
is equal to
1/4
in Simplest Form:  
-1/2
+
3/4
=
1/4
Note:  
-1/2
+
3/4
=
3/4
1/2

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