Which of the following is equivalent to six and three-sevenths divided by twelve

Question

anonymous · Answer

@jim_thompson5910 help?

jim_thompson5910 · Answer

six and three-sevenths  = 6 & 3/7



6 & 3/7 = 6/1 + 3/7

6 & 3/7 = (6/1)*(7/7) + 3/7

6 & 3/7 = 42/7 + 3/7

6 & 3/7 = (42 + 3)/7

6 & 3/7 = 45/7


making sense so far?

anonymous · Answer

Yes but your not saying thats the answer right? because my answer choices are...


6 1/28

1 13/15

15/28

2 1/28

jim_thompson5910 · Answer

we're not done, but is it making sense so far?

anonymous · Answer

@jim_thompson5910 thats what I thought and yes!

jim_thompson5910 · Answer

ok great

jim_thompson5910 · Answer

6 & 3/7 = 45/7


so saying " six and three-sevenths divided by twelve" is the same as saying "6 & 3/7 divided by 12"

and that's the same as writing this  "(45/7) divided by 12"

anonymous · Answer

so I divided 45/7 divided by 12?

jim_thompson5910 · Answer

(45/7) divided by 12 = (45/7)/(12/1)

(45/7) divided by 12 = (45/7)*(1/12)

(45/7) divided by 12 = (45*1)/(7*12)

(45/7) divided by 12 = 45/84

(45/7) divided by 12 = 15/28

jim_thompson5910 · Answer

to reduce in that last step, you divide each piece by the GCF 3

anonymous · Answer

so I divided each answer choice by 3?

anonymous · Answer

nvm so the answer is 15/28 right?

jim_thompson5910 · Answer

yep

anonymous · Answer

@jim_thompson5910 thanks so much!

jim_thompson5910 · Answer

yw