Sum of  

27/4

and

9/2

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 2 and 4:
LCD = LCM(2, 4) = 4
Express the given fractions as equivalent fractions with respect to the LCD (4):
=   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 4 and 45 equals 1, GCF(4, 45) = 1Therefore, the Sum of  

27/4

and

9/2

is equal to

45/4

in Simplest Form:  

27/4

+

9/2

=

45/4

Note: is an improper fraction, and as a mixed number,   = 11