Sum of  
3/10
and
4/35
in Simplest Form

Given:  
3/10
+
4/35

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 10 and 35:
LCD = LCM(10, 35) = 70
Express the given fractions as equivalent fractions with respect to the LCD (70):
3/10
=
21/70
  and  
4/35
=
8/70
As a result,  
3/10
+
4/35
=
21/70
+
8/70

Since the equivalent fractions have common denominators, we can add the numerators:
21/70
+
8/70
=
21 + 8/70
=
29/70
29/70
is in Simplest Form since the Greatest Common Factor of 29 and 70 equals 1, GCF(29, 70) = 1
Therefore, the Sum of  
3/10
and
4/35
is equal to
29/70
in Simplest Form:  
3/10
+
4/35
=
29/70

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