Question

Reduce the fraction to lowest terms. y+5/2y+10A:1/4B:1/2C:2/5

Answer 1

The given fraction is:

$\frac{y+5}{2y+10}$

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:

$\frac{y+5}{2(y+5)}$

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

$\frac{1}{2}$

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