Sum of  

3/4

and

4/5

in Simplest Form

Given:   +
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):
=   and   = As a result,   + = +
Since the equivalent fractions have common denominators, we can add the numerators:
+ = = is in Simplest Form since the Greatest Common Factor of 20 and 31 equals 1, GCF(20, 31) = 1Therefore, the Sum of  

3/4

and

4/5

is equal to

31/20

in Simplest Form:  

3/4

+

4/5

=

31/20

Note: is an improper fraction, and as a mixed number,   = 1