Sum of  

2/1

and

2/5

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 1 and 5:
LCD = LCM(1, 5) = 5
Express the given fractions as equivalent fractions with respect to the LCD (5):
=   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 5 and 12 equals 1, GCF(5, 12) = 1Therefore, the Sum of  

2/1

and

2/5

is equal to

12/5

in Simplest Form:  

2/1

+

2/5

=

12/5

Note: is an improper fraction, and as a mixed number,   = 2