Sum of  
175/55
and
74/44
in Simplest Form

Given:  
175/55
+
74/44
, which equals  
35/11
+
37/22
  (both fractions 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 11 and 22:
LCD = LCM(11, 22) = 22
Express the given fractions as equivalent fractions with respect to the LCD (22):
35/11
=
70/22
  and  
37/22
=
37/22
As a result,  
35/11
+
37/22
=
70/22
+
37/22

Since the equivalent fractions have common denominators, we can add the numerators:
70/22
+
37/22
=
70 + 37/22
=
107/22
107/22
is in Simplest Form since the Greatest Common Factor of 22 and 107 equals 1, GCF(22, 107) = 1
Therefore, the Sum of  
175/55
and
74/44
is equal to
107/22
in Simplest Form:  
175/55
+
74/44
=
107/22
Note:
107/22
is an improper fraction, and as a mixed number,  
107/22
= 4
19/22

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