Question

0.06547619047 as a fraction

Answer 1

To write 0.06547619047 as a fraction you have to write 0.06547619047 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

Answer:
0.06547619047 as a fraction equals
6547619047/100000000000

Answer 2

11/168

Explanation:

You want the decimal value 0.06547619047 represented as a fraction.

Fraction

The obvious choice is ...

`(6547619047)/(100000000000)`

However, we see that this might be a truncation of the repeating decimal fraction ...

`0.065\overline{476190}`

This value can be represented by the fraction 11/168.

`0.065\overline{476190}=\boxed{(11)/(168)}`

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Additional comment

You can arrive at this several ways. The attached calculator display shows one way.

Another is to write it as the sum 0.065 +(1/1000)(476190/999999). Reducing the fraction here may require a bit of trial and error.

You can also write it as a continued fraction and then evaluate the result.

0.06547619047 = 1/(15 +1/(3 +1/(1 +1/2))) = 11/168

where the last 2 is a rounding of 1.999999825...

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