Sum of  
5/9
and
4/14
in Simplest Form

Given:  
5/9
+
4/14
, which equals  
5/9
+
2/7
  (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 7 and 9:
LCD = LCM(7, 9) = 63
Express the given fractions as equivalent fractions with respect to the LCD (63):
5/9
=
35/63
  and  
2/7
=
18/63
As a result,  
5/9
+
2/7
=
35/63
+
18/63

Since the equivalent fractions have common denominators, we can add the numerators:
35/63
+
18/63
=
35 + 18/63
=
53/63
53/63
is in Simplest Form since the Greatest Common Factor of 53 and 63 equals 1, GCF(53, 63) = 1
Therefore, the Sum of  
5/9
and
4/14
is equal to
53/63
in Simplest Form:  
5/9
+
4/14
=
53/63

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