Question

find the quotient and simplify
q/7 divided by q/26
help and explain!

Answer 1

hi diana, do you still need help with this problem or do you think you have it under control?

Answer 2

I still need help :/ I'm trying to figure it out because any way I do it doesn't seem to fit one of the answers

Answer 3

Its multiple choice

Answer 4

I think its \[\frac{ q ^{2} }{ 182}\]

Answer 5

:) no worries. I have a question. How would you do the problem (1/2)/(1/4)?

Answer 6

times it across and you get 2/4 = 1/2?

Answer 7

division of fractions means that you take the fraction you are dividing by, invert it (flip it), and then multiply straight across.

Answer 8

so, in the case of 1/2 divided by 1/4, you would flip the dividing fraction (1/4) to 4/1 and you would get \[\frac{ 1 }{ 2 }\times \frac{ 4 }{ 1 }\]

Answer 9

then multiply straight across to get 4/2

Answer 10

so far so good?

Answer 11

yup

Answer 12

so answer is 2?

Answer 13

okeedokee, this then simplifies to 2

Answer 14

perfect. yes.

Answer 15

now in the case of the problem you are doing, what is the dividing fraction?

Answer 16

so \[\frac{ q }{ 7 } \div \frac{ 27 }{ q } then you multiply?\]

Answer 17

then you multiply*

Answer 18

Imean 26******

Answer 19

close, you invert the fraction. that changes it from a division problem to a multiplication problem

Answer 20

so \[\frac{ q }{ 182 }\]

Answer 21

\[\frac{ q }{ 7 }\times \frac{ 26 }{ q }\]

Answer 22

do you see how i flipped the dividing fraction and then it is no longer division but multiplication?

Answer 23

yeah thanks

Answer 24

so what is your final answer?

Answer 25

notice that the q's cross cancel

Answer 26

\[\frac{ q ^{2} }{ 182 }\] ?

Answer 27

thats the closet thing to my multple choice

Answer 28

are you familiar with cross cancellation in the product of two fractions? so, for instance, if you are multiplying \[\frac{ 2 }{ 3 }by \frac{ 1 }{ 2 }\], you will be able to cancel the 2 twos and multiply straight across. this would give an answer of 1/3

Answer 29

now think about your problem and the product above

Answer 30

yeah , do you want me to write out the multiple choice?

Answer 31

sure

Answer 32

just the answers.

Answer 33

\[A. \frac{ 7 }{ 26 }\]

Answer 34

B.\[B. \frac{ 26 }{ 7 }\]

Answer 35

\[C. \frac{ q ^{2} }{ 182 }\]

Answer 36

\[D.\frac{ 26q ^{2} }{ 7 }\]

Answer 37

ok diana, the key concept here is in the cancellation of the q's.

Answer 38

so its 7/26

Answer 39

omg this is hard -_-

Answer 40

remember, that when i inverted the dividing fraction that the problem became \[\frac{ q }{ 7 }\times \frac{ 26 }{ q }\]

Answer 41

do remember how to cross cancel?

Answer 42

it is not hard when you see how to do it... you will be fine.

Answer 43

yes cancel out the q so it 26/7 ?

Answer 44

yess!!!!!

Answer 45

perfect

Answer 46

YAY THANKS!!

Answer 47

so the steps of dividing by a fraction are: 1. flip the dividing fraction

Answer 48

2. cross cancel if possible

Answer 49

2. change the problem after the inversion to multiplication. sorry, do this BEFORE cross cancelling

Answer 50

then cross cancel. then multiply straight across. it is formulaic when you get used to it

Answer 51

and remember, it works for ALL fractions, even those with variables. ok?

Answer 52

i think you are through the worst of it. :). nice job of hangin in.

Answer 53

any questions? anything still hazy or confusing?

Answer 54

nope thanks alot

Answer 55

my pleasure. you take care diana.

Answer 56

you too (:

Answer 57

:) bye