Sum of  
3/7
and
4/12
in Simplest Form

Given:  
3/7
+
4/12
, which equals  
3/7
+
1/3
  (second fraction simplified)
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 7:
LCD = LCM(3, 7) = 21
Express the given fractions as equivalent fractions with respect to the LCD (21):
3/7
=
9/21
  and  
1/3
=
7/21
As a result,  
3/7
+
1/3
=
9/21
+
7/21

Since the equivalent fractions have common denominators, we can add the numerators:
9/21
+
7/21
=
9 + 7/21
=
16/21
16/21
is in Simplest Form since the Greatest Common Factor of 16 and 21 equals 1, GCF(16, 21) = 1
Therefore, the Sum of  
3/7
and
4/12
is equal to
16/21
in Simplest Form:  
3/7
+
4/12
=
16/21

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

Find the Sum of Fractions in Simplest Form

Related Glossary Terms

Related Applications

Related Solutions