Question

@JBrightman3 Which fraction falls between
5
--
14 and

5
--
7?
------------(Now the answers)
13
--
14
------------
2
--
7
------------
3
--
14
------------
4
--
7

Answer 1

Well, 5/14 is about equal to 0.357, and 5/7 is about equal to 0.714.

13 / 14 = 0.929
2 / 7 = 0.286
3 / 14 = 0.214
4 / 7 = 0.571

So out of those numbers, which do you think is the correct answer?

Answer 2

Think of it this way.
\[\text{Which fraction falls between} \frac{5}{14} \text{and } \frac{10}{14}?\]\[\text{Choices } A.\frac{13}{14} \space B.\frac{4}{14} \space C.\frac{3}{14} \space D.\frac{8}{14}\]

Answer 3

Uhh Mmmmm I think its D ?!?!

Answer 4

Yup :)

Answer 5

Yay!!! ^.^

Answer 6

That's right! :)

Answer 7

Calcmathlete has shown the correct way of approaching this type of problem - make all the denominators the same - then just compare the numerators.

Answer 8

Well, @asnaseer, you can find the answer either way. I just wanted to make it simpler for her. When you have the actual values of the fractions, it is easier to see the correct answer.

Answer 9

Thanks guys!! ^.^

Answer 10

Glad to help :)

Answer 11

@JBrightman3 you really think converting these fractions to /approx/ decimals is simpler?

Answer 12

I just used a calculator and found each answer in less the a minute, so it was simple for me. :)

Answer 13

@WhiteFlower, do you know how to change the denominators of fractions?

Answer 14

yeah :)

Answer 15

In the long run, it would be easier for you to solve the question that way, I just wasn't sure you've done those before. :)

Answer 16

:) Yeah, thanks^^

Answer 17

@JBrightman3 I do understand your point of view, but I think what he was trying to say was that that's the more appropriate way to do it because I've always learned it's better to do what can be done in your head without a calculator than with one. I remember very early on, I learned that kind of lesson that the mind can be faster than calculators and not to abuse calculators.

Answer 18

I agree with you @Calcmathlete. I personally would have done it the way you did it, but I just didn't know if WhiteFlower knew how to yet. This one question is quite simple, so I didn't know if she knew how to or not.