Sum of  
1/2
and
11/12
in Simplest Form

Given:  
1/2
+
11/12

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 2 and 12:
LCD = LCM(2, 12) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
1/2
=
6/12
  and  
11/12
=
11/12
As a result,  
1/2
+
11/12
=
6/12
+
11/12

Since the equivalent fractions have common denominators, we can add the numerators:
6/12
+
11/12
=
6 + 11/12
=
17/12
17/12
is in Simplest Form since the Greatest Common Factor of 12 and 17 equals 1, GCF(12, 17) = 1
Therefore, the Sum of  
1/2
and
11/12
is equal to
17/12
in Simplest Form:  
1/2
+
11/12
=
17/12
Note:
17/12
is an improper fraction, and as a mixed number,  
17/12
= 1
5/12

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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