From the choices, select the fraction equivalent to the given fraction. (B) 11 4 \frac{11}{4}

this problem, we're asked from the choices to select the fraction equivalent to the given fraction. Now the fraction we're given here is 11 fourths. Remember that in order to create an equivalent fraction, we would want to multiply both the numerator and the denominator fraction, by the same exact constant. So let's look at our choices here. Given answer choice a, we have 55 over 15. So let's think about if I had the fraction 11 fourths, what I would need to multiply both the top and the bottom by to try and get 55 over 15. Well, I know that I can multiply 11 times five in order to get 55. But if I then multiply four also by the same constant five, which is how I create equivalent fractions, I would actually get here 20 because four times five is 20 rather than 15. So that tells me that this 55 over 15 is not an equivalent fraction. If this choice was instead 55 over 20, it would be. Let's take a look at our next choice. We're given here 33 over 12. So again, we want to be thinking, okay, with my fraction 11 fourths, what can I multiply by in both the numerator and denominator to get 33 over 12? Well, I know that to get from 11 to 33, I can multiply by three. 11 times three would give me 33. But if I multiply by three in my denominator as well, what happens? Well, four times three does indeed give me 12. So this is looking like a good option here. I multiplied my original fraction in both the numerator and the denominator by the same constant and ended up with 33 over 12. But let's look at our final choice just to be sure. Here we have 66 over 18. So what could I multiply 11 over four by in order to get 66 over 18? Well, 11 times six would get me 66. But what happens if I multiply my denominator by that same constant six? Four times six would give me 24 rather than 18. So this is not an equivalent fraction. 66 eighteenths. So answer choice B is the correct one here. 33 over 12 is an equivalent fraction to 11 fourths. Having multiplied both the numerator and the denominator by the same constant, three. Let us know if you have any questions, and I'll see you soon.

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From the choices, select the fraction equivalent to the given fraction.(B) 114\(\frac{11}{4}\)

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From the choices, select the fraction equivalent to the given fraction.
(B) $\frac{11}{4}$