Question

convert recurring decimal 6.838383 into a fraction

Answer 1

Did you learn anything?

Answer 2

nop not really it was too much and confusing

Answer 3

plus thats a differrent question

Answer 4

It's no different than the earlier one if you follow the same steps

Answer 5

i copied it anyway

Answer 6

it is cuz it doesnt start with zero

Answer 7

That's where you utilize your thinking skills

Answer 8

What grade are you?

Answer 9

I'll walk you through it. The idea is to get rid of the repeated decimals by multiplying by 10s or 100s

Answer 10

okay thanks

Answer 11

suppose x=6.8383

Answer 12

what's 10x?

Answer 13

68.838383?

Answer 14

No. How did you get that?

Answer 15

dont you multiply it by 10

Answer 16

you did that on the first one

Answer 17

Yes, but that's not the same thing. Multiply 6.8383 by 10

Answer 18

yeah

Answer 19

what do you get?

Answer 20

i got the answer 68.383

Answer 21

okay

Answer 22

so we have (1), x=6.8383
(2),10x=68.3838
Right?
Subtract and you'll get:
9x=?

Answer 23

hmmm

Answer 24

You realize you still have the decimals. so you try 100

Answer 25

->100x=683.8383

Answer 26

okay

Answer 27

Remember the idea is to get rid of the decimals right

Answer 28

683.8383 or 68.3838

Answer 29

x=6.8383
100x=683.8383

Answer 30

okay

Answer 31

Now subtract and you'll get:
99x=?

Answer 32

You subtract like terms: so 100x-x=99x
683.8383-6.8383=?

Answer 33

okay

Answer 34

I want you give the answer

Answer 35

677

Answer 36

okay. So this means, 99x=677
therefore x=?

Answer 37

6.8383?

Answer 38

really?

Answer 39

i dont know haha i swear i cant get it like i dont know what your question is

Answer 40

99x=677 so what is x?

Answer 41

99? 677?

Answer 42

What grade are you again?

Answer 43

why would you ask

Answer 44

So I know what level math you are and how best to help you

Answer 45

are you a teacher?

Answer 46

10th

Answer 47

No I'm not a teacher by profession. But why would you lie?

Answer 48

lie about what?

Answer 49

well, the answer you look for is 677/99

Answer 50

677/99=6.8383..