Sum of  
2/5
and
1/3
in Simplest Form

Given:  
2/5
+
1/3

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 5:
LCD = LCM(3, 5) = 15
Express the given fractions as equivalent fractions with respect to the LCD (15):
2/5
=
6/15
  and  
1/3
=
5/15
As a result,  
2/5
+
1/3
=
6/15
+
5/15

Since the equivalent fractions have common denominators, we can add the numerators:
6/15
+
5/15
=
6 + 5/15
=
11/15
11/15
is in Simplest Form since the Greatest Common Factor of 11 and 15 equals 1, GCF(11, 15) = 1
Therefore, the Sum of  
2/5
and
1/3
is equal to
11/15
in Simplest Form:  
2/5
+
1/3
=
11/15

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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