Sum of  
6/9
and
8/76
in Simplest Form

Given:  
6/9
+
8/76
, which equals  
2/3
+
2/19
  (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 3 and 19:
LCD = LCM(3, 19) = 57
Express the given fractions as equivalent fractions with respect to the LCD (57):
2/3
=
38/57
  and  
2/19
=
6/57
As a result,  
2/3
+
2/19
=
38/57
+
6/57

Since the equivalent fractions have common denominators, we can add the numerators:
38/57
+
6/57
=
38 + 6/57
=
44/57
44/57
is in Simplest Form since the Greatest Common Factor of 44 and 57 equals 1, GCF(44, 57) = 1
Therefore, the Sum of  
6/9
and
8/76
is equal to
44/57
in Simplest Form:  
6/9
+
8/76
=
44/57

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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