Question

Can 0.43721… be a fraction

Answer 1

43,721/99,999

Explanation:

A non-terminating, repeating decimal can be written as a fraction.

How many digits repeat?

If the digits 43721 repeat, and the decimal number is

0.437214372143721..., then we can convert it into a fraction.

Let x = 0.437214372143721... Eq. 1

Then 100,000x = 43,721.4372143721... Eq. 2

Now we subtract Eq. 1 from the Eq. 2.

100,000x = 43,721.4372143721...

(-) x = 0.4372143721...

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99,999x = 43,721

x = 43,721/99,999

Answer: 43,721/99,999

Answer 2

43721/100000

Explanation:

To write 0.43721 as a fraction you have to write 0.43721 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.

0.43721 = 0.43721/1 = 4.3721/10 = 43.721/100 = 437.21/1000 = 4372.1/10000 = 43721/100000