Sum of  
-1/7
and
3/8
in Simplest Form

Given:  
-1/7
+
3/8

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 7 and 8:
LCD = LCM(7, 8) = 56
Express the given fractions as equivalent fractions with respect to the LCD (56):
-1/7
=
-8/56
  and  
3/8
=
21/56
As a result,  
-1/7
+
3/8
=
-8/56
+
21/56

Since the equivalent fractions have common denominators, we can add the numerators:
-8/56
+
21/56
=
-8 + 21/56
=
13/56
13/56
is in Simplest Form since the Greatest Common Factor of 13 and 56 equals 1, GCF(13, 56) = 1
Therefore, the Sum of  
-1/7
and
3/8
is equal to
13/56
in Simplest Form:  
-1/7
+
3/8
=
13/56
Note:  
-1/7
+
3/8
=
3/8
−
1/7

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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