Sum of  
345/675
and
24/25
in Simplest Form

Given:  
345/675
+
24/25
, which equals  
23/45
+
24/25
  (first 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 25 and 45:
LCD = LCM(25, 45) = 225
Express the given fractions as equivalent fractions with respect to the LCD (225):
23/45
=
115/225
  and  
24/25
=
216/225
As a result,  
23/45
+
24/25
=
115/225
+
216/225

Since the equivalent fractions have common denominators, we can add the numerators:
115/225
+
216/225
=
115 + 216/225
=
331/225
331/225
is in Simplest Form since the Greatest Common Factor of 225 and 331 equals 1, GCF(225, 331) = 1
Therefore, the Sum of  
345/675
and
24/25
is equal to
331/225
in Simplest Form:  
345/675
+
24/25
=
331/225
Note:
331/225
is an improper fraction, and as a mixed number,  
331/225
= 1
106/225

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