First recognize that \(0.313233 = \frac{313,233}{1,000,000}\)


A) \(\frac{3}{10}=\frac{300,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{300,000}{1,000,000} = \frac{13,233}{1,000,000}\)

So, answer choice A is \(\frac{13,233}{1,000,000}\) away from the given decimal.



B) \(\frac{31}{100}=\frac{310,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{310,000}{1,000,000} = \frac{3,233}{1,000,000}\)

So, answer choice B is \(\frac{3,233}{1,000,000}\) away from the given decimal.



C) \(\frac{313}{1,000}=\frac{313,000}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,000}{1,000,000} = \frac{233}{1,000,000}\)

So, answer choice C is \(\frac{233}{1,000,000}\) away from the given decimal.



D) \(\frac{3,132}{10,000}=\frac{313,200}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,200}{1,000,000} = \frac{33}{1,000,000}\)

So, answer choice D is \(\frac{33}{1,000,000}\) away from the given decimal.


E) \(\frac{31,323}{100,000}=\frac{313,230}{1,000,000}\)

\(\frac{313,233}{1,000,000} - \frac{313,230}{1,000,000} = \frac{3}{1,000,000}\)

So, answer choice E is \(\frac{3}{1,000,000}\) away from the given decimal.

Answer: E

Cheers,
Brent

You're absolutely right.
I have edited the original question accordingly.

Cheers,
Brent