Question

What is the sum of `2/5` and `2/4`?

Answer 1

`9/10`

Explanation:

First note that `2/4" may be simplified"`

`cancel(2)^1/cancel(4)^2=1/2`

hence `2/5+1/2" is now the sum"`

Since the denominators ( 5 and 2 ) are different we cannot add them. We have to have a common denominator before we can do this.
The lowest common denominator for 2 and 5 is 10. We now express both fractions with a denominator of 10.

`(2/5xx2/2)+(1/2xx5/5)=4/10+5/10`

Now that the denominators are the same we just add the numerators, leaving the denominator(do not add)

`rArr2/5+1/2=4/10+5/10=9/10`