Sum of  
-9/4
and
43/6
in Simplest Form

Given:  
-9/4
+
43/6

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 4 and 6:
LCD = LCM(4, 6) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
-9/4
=
-27/12
  and  
43/6
=
86/12
As a result,  
-9/4
+
43/6
=
-27/12
+
86/12

Since the equivalent fractions have common denominators, we can add the numerators:
-27/12
+
86/12
=
-27 + 86/12
=
59/12
59/12
is in Simplest Form since the Greatest Common Factor of 12 and 59 equals 1, GCF(12, 59) = 1
Therefore, the Sum of  
-9/4
and
43/6
is equal to
59/12
in Simplest Form:  
-9/4
+
43/6
=
59/12

Notes:
  • 59/12
    is an improper fraction, and as a mixed number,  
    59/12
    = 4
    11/12
  •  
    -9/4
    +
    43/6
    =
    43/6
    −
    9/4

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