Question

can someone explain how you turn .1428 into 1/7

Answer 1

\[.1428 = \frac{ 1 }{ x }\]

Answer 2

So if you get an answer to a problem and the answer is 12.698 how would you find out what fraction that is?

Answer 3

and putting.698 over 1000 doesn't work

Answer 4

I was gonna say 12 and 698/1000 and then simplify that

Answer 5

doesnt work. If you put .1428 over 10000 it doesnt give you 1/7. Im so confused

Answer 6

That's because .1428 = 1428/10000

Answer 7

right..

Answer 8

So what you get when you put .1428 over 10000 is .00001428

Answer 9

i dont understand how he is getting 1/7

Answer 10

i understand that one divided by seven is .14 but without know what fraction to use how do you figure it out

Answer 11

Ok, look at it this way. You have a finite decimal and 1/x because you don't know the denominator of the fraction.

\[.1428 = \frac{ 1 }{ x }\]
\[.1428x = 1\]
\[x = \frac{1}{.1428} \]

Answer 12

Do you want me to explain with other examples?