Sum of  
5/8
and
8/36
in Simplest Form

Given:  
5/8
+
8/36
, which equals  
5/8
+
2/9
  (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 8 and 9:
LCD = LCM(8, 9) = 72
Express the given fractions as equivalent fractions with respect to the LCD (72):
5/8
=
45/72
  and  
2/9
=
16/72
As a result,  
5/8
+
2/9
=
45/72
+
16/72

Since the equivalent fractions have common denominators, we can add the numerators:
45/72
+
16/72
=
45 + 16/72
=
61/72
61/72
is in Simplest Form since the Greatest Common Factor of 61 and 72 equals 1, GCF(61, 72) = 1
Therefore, the Sum of  
5/8
and
8/36
is equal to
61/72
in Simplest Form:  
5/8
+
8/36
=
61/72

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