As stated in the title -Many Thaanks!Quote:

Explain how 4/15 is equivalent to recurring decimal.

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- May 14th 2009, 11:12 AMBabyMiloExplain how 4/15 is equivalent to recurring decimal.
As stated in the title -

Quote:

Explain how 4/15 is equivalent to recurring decimal.

- May 14th 2009, 11:40 AMmasters
Hi BabyMilo,

Let's do the long division on this thing.

Code:

0 . 2 6 6 6 6

------------------------

15 | 4 . 0 0 0 0 0

0

----------

4 0

3 0

---------

1 0 0

9 0

-----------

1 0 0

9 0

----------

1 0

- May 14th 2009, 11:44 AMBabyMilo
no other mathematical ways? Thanks anyway!

- May 14th 2009, 08:38 PMo_O
Sure there is.

Let .

Multiply both sides by 100:

Subtract by the first line:

So:

Reduce the final fraction and you'll get what you want.