The numerator of a fraction is five more than the denominator. Both the numerator and denominator are increased by five, and the resulting fraction is multiplied by the original one. What is the relationship between the numerator and the denominator of the product?

Question

anonymous · Answer

Let denominator = x
then numerator be x+5

anonymous · Answer

Well I have something but I'm not sure if it's right

anonymous · Answer

$$(x+5\div x) (x+10\div x+5)$$

anonymous · Answer

which ends up canceling out to (x+10/x)

anonymous · Answer

So would the "relationship" be 1+ 10/x?

anonymous · Answer

i.e. the denominator is 10 more than numerator

anonymous · Answer

I had it flipped

anonymous · Answer

because doesnt it say the numerator is already +5, and then add 5 to each again which would make the numerator x+10, and the denominator x+5?

anonymous · Answer

oh sorry..

anonymous · Answer

So then it leave you multiplying the numerator+5/denominator by the denominator+10/denominator+5?

anonymous · Answer

I just have no idea how my teacher wants us to write an answer for what the "relationship" is

anonymous · Answer

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