Sum of  
5/80
and
9/225
in Simplest Form

Given:  
5/80
+
9/225
, which equals  
1/16
+
1/25
  (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 16 and 25:
LCD = LCM(16, 25) = 400
Express the given fractions as equivalent fractions with respect to the LCD (400):
1/16
=
25/400
  and  
1/25
=
16/400
As a result,  
1/16
+
1/25
=
25/400
+
16/400

Since the equivalent fractions have common denominators, we can add the numerators:
25/400
+
16/400
=
25 + 16/400
=
41/400
41/400
is in Simplest Form since the Greatest Common Factor of 41 and 400 equals 1, GCF(41, 400) = 1
Therefore, the Sum of  
5/80
and
9/225
is equal to
41/400
in Simplest Form:  
5/80
+
9/225
=
41/400

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