Question

I am a fraction equivalent to 45/60. If you were to multiply my denominator by my numerator, the product would be 192. What fraction am I? (Every equivalent fraction I find, when multiplied does not equal 192. What am I missing here?)

Answer 1

I am a fraction equivalent to 45/60

means that

x/y = 45/60

Answer 2

If you were to multiply my denominator by my numerator, the product would be 192

tells you that

x*y = 192

Answer 3

That gives you a system of 2 equations with 2 unknowns, which you can solve for x and y.

Answer 4

I have found all of the equivalent fractions; however, none of the numerators when multiplied by the denominators equal 192. 3/4=12; 15/20=300; 9/12=108....and so on. Is there an equivalent fraction to 45/60 that will work for this problem?

Answer 5

x/y = 45/60

x/y = 3/4

4x = 3y

y = 4x/3

------------------------

x*y = 192

x*(4x/3) = 192

4x^2 = 192*3

4x^2 = 576

x^2 = 576/4

x^2 = 144

See how to get x now?

Answer 6

This is a fourth grade math class. I do not think it is supposed to be this difficult to get an equivalent fraction here.

Answer 7

then you'll have to do it by trial and error

Answer 8

it turns out that the numerator is 12

so the denominator would have to be 16

Answer 9

trial and error:

start with 3/4

then move onto 6/8

then go to 9/12

keep going til you find your answer

Answer 10

ThYes, 12x15=192, but 12/16 is not an equivalent fraction for 45/60. That's my problem. I can find a fraction that will come up with the 192 answer, but they are not equivalent to 45/60.

Answer 11

12 x 16 not 12 x 15

Answer 12

12/16 is equivalent to 45/60

Answer 13

How is that? 12x4=48 and 16x4=64 Multiples of 12 do not equal 45 and multiples of 16 do not equal 60.

Answer 14

45/60 cannot be reduced to 12/16

Answer 15

12/16 reduces to 3/4

multiply top and bottom of 3/4 by 15 to get 45/60

Answer 16

so 12/16 is equivalent to 45/60

Answer 17

I understand what you are saying there. I just thought that all equivalent fractions had to have their numerators and denominators either divided or multiplied by the same number to be equivalent. Is that not the case? I can reduce the bigger fraction down to the 3/4 and then multiply with another number to get a fraction that works?

Answer 18

45/12 = 3.75

so if you multiply top and bottom of 12/16 by 3.75 you'll get 45/60

Answer 19

Thanks!

Answer 20

np