Sum of  
4/5
and
3/4
in Simplest Form

Given:  
4/5
+
3/4

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 4 and 5:
LCD = LCM(4, 5) = 20
Express the given fractions as equivalent fractions with respect to the LCD (20):
4/5
=
16/20
  and  
3/4
=
15/20
As a result,  
4/5
+
3/4
=
16/20
+
15/20

Since the equivalent fractions have common denominators, we can add the numerators:
16/20
+
15/20
=
16 + 15/20
=
31/20
31/20
is in Simplest Form since the Greatest Common Factor of 20 and 31 equals 1, GCF(20, 31) = 1
Therefore, the Sum of  
4/5
and
3/4
is equal to
31/20
in Simplest Form:  
4/5
+
3/4
=
31/20
Note:
31/20
is an improper fraction, and as a mixed number,  
31/20
= 1
11/20

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