Sum of  
19/15
and
1/4
in Simplest Form

Given:  
19/15
+
1/4

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 4 and 15:
LCD = LCM(4, 15) = 60
Express the given fractions as equivalent fractions with respect to the LCD (60):
19/15
=
76/60
  and  
1/4
=
15/60
As a result,  
19/15
+
1/4
=
76/60
+
15/60

Since the equivalent fractions have common denominators, we can add the numerators:
76/60
+
15/60
=
76 + 15/60
=
91/60
91/60
is in Simplest Form since the Greatest Common Factor of 60 and 91 equals 1, GCF(60, 91) = 1
Therefore, the Sum of  
19/15
and
1/4
is equal to
91/60
in Simplest Form:  
19/15
+
1/4
=
91/60
Note:
91/60
is an improper fraction, and as a mixed number,  
91/60
= 1
31/60

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