I posted this question like 5 times!
Please explain to me how to get the answer! :(

Luke shaped a piece of wire that was 6/11 meter long to form a circle. He divided the length of the wire by 22/7 to find that the diameter of the circle was 7/12 meter. Which of the following statements explains the error Luke made while calculating the diameter of the circle?

A. He used the reciprocal of 6/11 while multiplying the two fractions.
B. He did not find the reciprocal of 22/7 while multiplying the two fractions.
C. He used the reciprocals of 6/11 and 22/7 while multiplying the two fractions

Question

I posted this question like 5 times!
Please explain to me how to get the answer! :(

Luke shaped a piece of wire that was 6/11 meter long to form a circle. He divided the length of the wire by 22/7 to find that the diameter of the circle was 7/12 meter. Which of the following statements explains the error Luke made while calculating the diameter of the circle?

A.	He used the reciprocal of 6/11 while multiplying the two fractions.
B.	He did not find the reciprocal of 22/7 while multiplying the two fractions.
C.	He used the reciprocals of 6/11 and 22/7 while multiplying the two fractions

anonymous · Answer

D.	He did not find the reciprocal of the answer after multiplying the two fractions.

anonymous · Answer

Test each case individually

amistre64 · Answer

C = d pi  for starters

amistre64 · Answer

C/pi = d

amistre64 · Answer

22/7 is about pi

anonymous · Answer

case a:
(11/6)*(7/22)=7/12
looks like we can stop here.  This is where he messed up

amistre64 · Answer

6/11
---- = 7/12  will give you what he did i beleive
  x

anonymous · Answer

Thank you! Finally I get some help...

amistre64 · Answer

x = 72/77 in that case .. which doesnt seem to be an answer

   x
----- = 7/12 then like dw said
22/7

amistre64 · Answer

x = 11/6 in that case so from the options a does seem most probable

anonymous · Answer

Actually, i think the answer is option c because in a it implies he multiplied by pi instead of the reciprocal

amistre64 · Answer

its hard to tell what he did ....

amistre64 · Answer

you dont multiply fractions ...

anonymous · Answer

Okay, Dockworker. I was going to go with Choice C anyway...

amistre64 · Answer

you do, but not in this case so its a bit ackward to read the options

anonymous · Answer

yes...the options are kind of vague and then a makes no sense when you get to c

amistre64 · Answer

c is best tho

amistre64 · Answer

he flipped both fractions and multiplied instead of jsut flipping the bottom one

anonymous · Answer

11/6 ÷ 22/7 which gets you 7/12.

anonymous · Answer

i assume when they said multiplying fractions that he was doing it properly in case a, but the question is dumb

amistre64 · Answer

its spose to be designed to get you to consider how people might mess up; but yeah ... its a rather poor question

anonymous · Answer

I'll just go with choice C. Thanks for the help!