Question

0.41666666666 as a fraction

Answer 1

41666666666 /100000000000

Simplified=

20833333333 /50000000000

Answer 2

First, we let x be the number. Since x is a repeated decimal, we need to get rid of the repeated 6. So we times 1000 to x:

1000x = 416.6666...

Then we multiply 100 to x:

100x = 41.66666...

Now, we can subtract them:

1000x - 100x = 900x

416.6666... - 41.66666... = 375

900x = 375

Divide both sides by 900:

x = 375/900

It just needs to be simplified:

375/900 = 75/180 = 15/36 = 5/12

So,

0.41666666666 = 5/12