Sum of  
2/7
and
5/7
in Simplest Form

Given:  
2/7
+
5/7

Since the denominators are common (the same), we can add the numerators:
2/7
+
5/7
=
2 + 5/7
=
7/7
However,  
7/7
 is NOT in Simplest Form since the Greatest Common Factor of 7 and 7 does not equal 1, GCF(7, 7) ≠ 1
Upon inspection, the GCF(7, 7) = 7
In Simplest Form,  
7/7
=
7 ÷ 7/7 ÷ 7
=
1/1
= 1
Therefore, the Sum of  
2/7
and
5/7
is equal to 1 in Simplest Form:  
2/7
+
5/7
= 1

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