Sum of  
4/9
and
12/15
in Simplest Form

Given:  
4/9
+
12/15
, which equals  
4/9
+
4/5
  (second fraction 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 5 and 9:
LCD = LCM(5, 9) = 45
Express the given fractions as equivalent fractions with respect to the LCD (45):
4/9
=
20/45
  and  
4/5
=
36/45
As a result,  
4/9
+
4/5
=
20/45
+
36/45

Since the equivalent fractions have common denominators, we can add the numerators:
20/45
+
36/45
=
20 + 36/45
=
56/45
56/45
is in Simplest Form since the Greatest Common Factor of 45 and 56 equals 1, GCF(45, 56) = 1
Therefore, the Sum of  
4/9
and
12/15
is equal to
56/45
in Simplest Form:  
4/9
+
12/15
=
56/45
Note:
56/45
is an improper fraction, and as a mixed number,  
56/45
= 1
11/45

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

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