Sum of  
18/75
and
44/96
in Simplest Form

Given:  
18/75
+
44/96
, which equals  
6/25
+
11/24
  (both fractions simplified)
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 24 and 25:
LCD = LCM(24, 25) = 600
Express the given fractions as equivalent fractions with respect to the LCD (600):
6/25
=
144/600
  and  
11/24
=
275/600
As a result,  
6/25
+
11/24
=
144/600
+
275/600

Since the equivalent fractions have common denominators, we can add the numerators:
144/600
+
275/600
=
144 + 275/600
=
419/600
419/600
is in Simplest Form since the Greatest Common Factor of 419 and 600 equals 1, GCF(419, 600) = 1
Therefore, the Sum of  
18/75
and
44/96
is equal to
419/600
in Simplest Form:  
18/75
+
44/96
=
419/600

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