Sum of  
54/100
and
28/58
in Simplest Form

Given:  
54/100
+
28/58
, which equals  
27/50
+
14/29
  (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 29 and 50:
LCD = LCM(29, 50) = 1,450
Express the given fractions as equivalent fractions with respect to the LCD (1,450):
27/50
=
783/1,450
  and  
14/29
=
700/1,450
As a result,  
27/50
+
14/29
=
783/1,450
+
700/1,450

Since the equivalent fractions have common denominators, we can add the numerators:
783/1,450
+
700/1,450
=
783 + 700/1,450
=
1,483/1,450
1,483/1,450
is in Simplest Form since the Greatest Common Factor of 1,450 and 1,483 equals 1, GCF(1,450, 1,483) = 1
Therefore, the Sum of  
54/100
and
28/58
is equal to
1,483/1,450
in Simplest Form:  
54/100
+
28/58
=
1,483/1,450
Note:
1,483/1,450
is an improper fraction, and as a mixed number,  
1,483/1,450
= 1
33/1,450

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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