Question

[(a/b)+1] / (c/b)

Answer 1

Answer:

B) 4

Step-by-step explanation:

To find what values of a,b and c should be 2,3 and 5 such that the expression results in the greatest value possible.

We need to first simplify the expression, so that we can easily understand it.

$\dfrac{\dfrac{a}{b}+1}{\dfrac{c}{b}}$

firstly, just break apart the fractions so we have two separate fractions instead one long fraction.

$(\dfrac{a}{b}+1)\div(\dfrac{c}{b})$

division and multiplication are reciprocal to each other!

$(\dfrac{a+b}{b})\times(\dfrac{b}{c})$

finally the b's cancel out, making our problem even simpler.

$\dfrac{a+b}{c}$

Now, in order to have this expression give the largest possible value, we'll need to have:

1. the larger values at the numerator i.e (3,5)
2. smaller values at the denominator i.e (2)

$\dfrac{a+b}{c}$

$\dfrac{3+5}{2}$

$\dfrac{8}{2}=4$

so B) 4 is the right answer!