Question

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If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1.



What is the numerator of the fraction?

2
9
16

Answer 1

okay, so...
if the numerator (top) is increased by three... (numerator is unknown ergo x): x+3 then the fraction is 3/4. so...the original fraction is (3-3)/4 so, 0/4. this doesn't make sense, right? so the 3/4 has to be a REDUCED fraction. so, let's look at the second part and see what we can get from that. the denominator (bottom) is decreased by 7 which makes it one. so, it's going to be something like 2/2 or 1/1. your options are 2, 9, and 6 for the numerators. so, let's do a guess and check:

let's start with 2.
if two is the numerator, then increase it by three. so that's 5.
any fraction with 5 as the numerator cannot be reduced into 3/4, so cross that one out.

try the same system with the other two and let me know what you get.

Answer 2

16* for the numerators
typo in the beginning, sorry