Sum of  
4/100
and
4/58
in Simplest Form

Given:  
4/100
+
4/58
, which equals  
1/25
+
2/29
  (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 25 and 29:
LCD = LCM(25, 29) = 725
Express the given fractions as equivalent fractions with respect to the LCD (725):
1/25
=
29/725
  and  
2/29
=
50/725
As a result,  
1/25
+
2/29
=
29/725
+
50/725

Since the equivalent fractions have common denominators, we can add the numerators:
29/725
+
50/725
=
29 + 50/725
=
79/725
79/725
is in Simplest Form since the Greatest Common Factor of 79 and 725 equals 1, GCF(79, 725) = 1
Therefore, the Sum of  
4/100
and
4/58
is equal to
79/725
in Simplest Form:  
4/100
+
4/58
=
79/725

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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