Sum of  
1/3
and
3/4
in Simplest Form

Given:  
1/3
+
3/4

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 4:
LCD = LCM(3, 4) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
1/3
=
4/12
  and  
3/4
=
9/12
As a result,  
1/3
+
3/4
=
4/12
+
9/12

Since the equivalent fractions have common denominators, we can add the numerators:
4/12
+
9/12
=
4 + 9/12
=
13/12
13/12
is in Simplest Form since the Greatest Common Factor of 12 and 13 equals 1, GCF(12, 13) = 1
Therefore, the Sum of  
1/3
and
3/4
is equal to
13/12
in Simplest Form:  
1/3
+
3/4
=
13/12
Note:
13/12
is an improper fraction, and as a mixed number,  
13/12
= 1
1/12

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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