Question

Reduce the fraction to lowest terms. y+5/2y+10

A:1/4
B:1/2
C:2/5

Answer 1

B) 1/2

Explanation:

Answer 2

The given fraction is:


`(y+5)/(2y+10)`

We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10.

2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)

So, our fraction now becomes:


`(y+5)/(2(y+5))`

y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:


`(1)/(2)`

Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer