Sum of  
3/10
and
2/6
in Simplest Form

Given:  
3/10
+
2/6
, which equals  
3/10
+
1/3
  (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 3 and 10:
LCD = LCM(3, 10) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
3/10
=
9/30
  and  
1/3
=
10/30
As a result,  
3/10
+
1/3
=
9/30
+
10/30

Since the equivalent fractions have common denominators, we can add the numerators:
9/30
+
10/30
=
9 + 10/30
=
19/30
19/30
is in Simplest Form since the Greatest Common Factor of 19 and 30 equals 1, GCF(19, 30) = 1
Therefore, the Sum of  
3/10
and
2/6
is equal to
19/30
in Simplest Form:  
3/10
+
2/6
=
19/30

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