Sum of  
1/3
and
1/6
in Simplest Form

Given:  
1/3
+
1/6

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

Since the equivalent fractions have common denominators, we can add the numerators:
2/6
+
1/6
=
2 + 1/6
=
3/6
However,  
3/6
  is NOT in Simplest Form since the Greatest Common Factor of 3 and 6 does not equal 1, GCF(3, 6) ≠ 1
Upon inspection, the GCF(3, 6) = 3
In Simplest Form,  
3/6
=
3 ÷ 3/6 ÷ 3
=
1/2
 (1 is the only factor common to 1 and 2)
Therefore, the Sum of  
1/3
and
1/6
is equal to
1/2
in Simplest Form:  
1/3
+
1/6
=
1/2

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

Find the Sum of Fractions in Simplest Form

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