Sum of  

3/10

and

1/5

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 5 and 10:
LCD = LCM(5, 10) = 10
Express the given fractions as equivalent fractions with respect to the LCD (10):
=   and   = As a result,   + = +
Since the equivalent fractions have common denominators, we can add the numerators:
+ = = However,    is NOT in Simplest Form since the Greatest Common Factor of 5 and 10 does not equal 1, GCF(5, 10) ≠ 1
Upon inspection, the GCF(5, 10) = 5In Simplest Form,   = =  (1 is the only factor common to 1 and 2)Therefore, the Sum of  

3/10

and

1/5

is equal to

1/2

in Simplest Form:  

3/10

+

1/5

=

1/2