Hello! 0 238 238 loop, 0 52 2 loop how to become a fraction

Loops, how loops become fractions.

The rigorous answer to this question requires the knowledge of mathematics in high school and above, and the following junior high school mathematics knowledge is not very rigorous, but the result is correct. FYI!

Solution: Let the S-loop.

i.e. s then 1000s

Subtract the two formulas to obtain:

999s＝238

So s 238 999

i.e.: loop, expressed as the fraction is 238 999

Let the m loop.

i.e. m then 10m

100m So the subtraction of the two equations is: 90m 47

So m 47 90

FYI! jswyc

The main thing is to learn how to rewrite pure cyclic decimals into fractions:

Pure cyclic decimal is rewritten as a fraction, and the numerator is a number composed of the number of cyclic sections; The denominator is 9, and the number of 9 is the same as the number of numbers in the loop section.

Cycle = 238 999 ;

Cycle = Cycle 10 = Cycle 10 = 1 2+(2 9) 10 = 47 90 .

Let m=then 10m=scattered.

：9m=6m=6÷9=2/3

Similarly, let n=

then 100n=

：99n=81

n=81÷99=81/99=9/11

The score is 2 3, and the score is 9 11.

Let x=, then the potato mold is 100x=

1000x=

Subtract to get: 900x=112

So, x = 112 out of 900

That is, x = 225 of the yard auspicious 28

In the same way, expand the original number to know the multiple of the mu of the same mu, and then reduce the number of original excavation collisions to obtain the whole number, and the disaster is divided into multiples of -1

Summary. The cyclic decimal cyclic section is two digits, so the fraction is 72 99 = 1 8. That is, if there are a few digits, divide by a few nines. For example, the cyclic section has 1, 2, and 3 three dimensions, so it is reduced to a fraction of 123 999 = 41 333.

The fractional form of the cycle.

Hello. I wrote it and sent it to you.

The cyclic decimal cyclic section is two digits, so the fraction is 72 99 = 1 8. That is, if there are a few digits of the fast cycle, divide the number by a few 9s. And take lead as a cycle of 1, 2, 3 three three, so that the score of 123 999 = 41 333.

It is equal to 2 and 8547/37037

For the specific calculation process, please refer to ** Hello. Thank you.

You're welcome.

The first is 61 99

The second is 3 and 489 990

In the loop, if you're going to make a fraction, then you're going to make 4 15. Because of 4 15, his answer is circulation.

Here you can try to calculate with different numerators and denominators for yourself, and gradually get closer to the answer.

Let the cycle of x=, then the cycle of 100x=26+ 100x x=26 99x=26 x=26 99 is the cyclic fraction of 26 99