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Yanka [14]
3 years ago
14

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

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

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!

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