Okay, this is the process.

First let x = the decimal number

Now, mulitply x by 10

10x = 3.33333 . . .

Subtract x from 10x

10x – x = 3.33333 -0.33333

9x = 3

divide by 9: x = 3/9 = 1/3

Look at this one which just a little harder:

Decimal number: 0.9166666666….

Now we have to do several multiplications:

x = 0.9166666….

1000 x = 916.66666…..

100 x = 91.66666…..

Subtract:

1000x – 100x = 916.66666…. – 91.6666….

900 x = 825

x = 825/900 = 11/12

That’s it. Hope you understand! Just multiply by powers of 10 in order to isolate the repeating part, and subtract it away.

Changing fractions into Decimals- Divide the top number by the bottom number. (Example- 1/4=.25