Sum of  
-1/2
and
3/5
in Simplest Form

Given:  
-1/2
+
3/5

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 5:
LCD = LCM(2, 5) = 10
Express the given fractions as equivalent fractions with respect to the LCD (10):
-1/2
=
-5/10
  and  
3/5
=
6/10
As a result,  
-1/2
+
3/5
=
-5/10
+
6/10

Since the equivalent fractions have common denominators, we can add the numerators:
-5/10
+
6/10
=
-5 + 6/10
=
1/10
1/10
is in Simplest Form since the Greatest Common Factor of 1 and 10 equals 1, GCF(1, 10) = 1
Therefore, the Sum of  
-1/2
and
3/5
is equal to
1/10
in Simplest Form:  
-1/2
+
3/5
=
1/10
Note:  
-1/2
+
3/5
=
3/5
−
1/2

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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