Sum of  
-3/10
and
7/8
in Simplest Form

Given:  
-3/10
+
7/8

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 8 and 10:
LCD = LCM(8, 10) = 40
Express the given fractions as equivalent fractions with respect to the LCD (40):
-3/10
=
-12/40
  and  
7/8
=
35/40
As a result,  
-3/10
+
7/8
=
-12/40
+
35/40

Since the equivalent fractions have common denominators, we can add the numerators:
-12/40
+
35/40
=
-12 + 35/40
=
23/40
23/40
is in Simplest Form since the Greatest Common Factor of 23 and 40 equals 1, GCF(23, 40) = 1
Therefore, the Sum of  
-3/10
and
7/8
is equal to
23/40
in Simplest Form:  
-3/10
+
7/8
=
23/40
Note:  
-3/10
+
7/8
=
7/8
3/10

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