Sum of  
3/7
and
5/14
in Simplest Form

Given:  
3/7
+
5/14

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 7 and 14:
LCD = LCM(7, 14) = 14
Express the given fractions as equivalent fractions with respect to the LCD (14):
3/7
=
6/14
  and  
5/14
=
5/14
As a result,  
3/7
+
5/14
=
6/14
+
5/14

Since the equivalent fractions have common denominators, we can add the numerators:
6/14
+
5/14
=
6 + 5/14
=
11/14
11/14
is in Simplest Form since the Greatest Common Factor of 11 and 14 equals 1, GCF(11, 14) = 1
Therefore, the Sum of  
3/7
and
5/14
is equal to
11/14
in Simplest Form:  
3/7
+
5/14
=
11/14

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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