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

Given:  
-7/8
+
3/10

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):
-7/8
=
-35/40
  and  
3/10
=
12/40
As a result,  
-7/8
+
3/10
=
-35/40
+
12/40

Since the equivalent fractions have common denominators, we can add the numerators:
-35/40
+
12/40
=
-35 + 12/40
=
-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  
-7/8
and
3/10
is equal to
-23/40
in Simplest Form:  
-7/8
+
3/10
=
-23/40
Note:  
-7/8
+
3/10
=
3/10
−
7/8

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

Find the Sum of Fractions in Simplest Form

Related Glossary Terms

Related Applications

Related Solutions