Sum of  
1/35
and
8/15
in Simplest Form

Given:  
1/35
+
8/15

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 15 and 35:
LCD = LCM(15, 35) = 105
Express the given fractions as equivalent fractions with respect to the LCD (105):
1/35
=
3/105
  and  
8/15
=
56/105
As a result,  
1/35
+
8/15
=
3/105
+
56/105

Since the equivalent fractions have common denominators, we can add the numerators:
3/105
+
56/105
=
3 + 56/105
=
59/105
59/105
is in Simplest Form since the Greatest Common Factor of 59 and 105 equals 1, GCF(59, 105) = 1
Therefore, the Sum of  
1/35
and
8/15
is equal to
59/105
in Simplest Form:  
1/35
+
8/15
=
59/105

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