## Which of the following fractions is closest to $$\dfrac12?$$

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### Which of the following fractions is closest to $$\dfrac12?$$

by M7MBA » Wed Feb 23, 2022 8:30 am

00:00

A

B

C

D

E

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Which of the following fractions is closest to $$\dfrac12?$$

A. $$\dfrac47$$

B. $$\dfrac59$$

C. $$\dfrac6{11}$$

D. $$\dfrac7{13}$$

E. $$\dfrac9{16}$$

Source: Official Guide

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### Re: Which of the following fractions is closest to $$\dfrac12?$$

by regor60 » Sun Feb 27, 2022 6:11 am
Looking at the answer choices, each of A, B ,C and D are 1/2 point away in the numerator from making the division equal to 1/2.

So, A, B and C can be eliminated because with their lower denominators compared to D, the 1/2 point difference in the numerator will render them farther away from 1/2 than D.

E. has its numerator a full point away from 1/2, so not looking good for that choice.

Next step is just to compare D and E.

D. 7/13= 14/26. 14/26 - 13/26=

1/26

E. 9/16=18/32. 18/32 - 16/32= 2/32=

1/16.

So D. is closer to 1/2 than E

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### Re: Which of the following fractions is closest to $$\dfrac12?$$

by [email protected] » Tue Mar 01, 2022 6:05 am
M7MBA wrote:
Wed Feb 23, 2022 8:30 am
Which of the following fractions is closest to $$\dfrac12?$$

A. $$\dfrac47$$

B. $$\dfrac59$$

C. $$\dfrac6{11}$$

D. $$\dfrac7{13}$$

E. $$\dfrac9{16}$$

Source: Official Guide

A) 4/7
3.5/7 = 1/2. So, 4/7 is 0.5/7 away from 1/2
Since 0.5/7 = 1/14, we can say that 4/7 is 1/14 away from 1/2

B) 5/9
4.5/9 = 1/2. So, 5/9 is 0.5/9 away from 1/2
Since 0.5/9 = 1/18, we can say that 5/9 is 1/18 away from 1/2

C) 6/11
Using the same logic, we can say that 6/11 is 1/22 away from 1/2

D) 7/13
Likewise, 7/13 is 1/26 away from 1/2

E) 9/16
And 9/16 is 1/16 away from 1/2

Of the BLUE fractions, 1/26 is the SMALLEST
So, the correct answer is D

Cheers,
Brent

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