Multiple choice

If $0.090909$ is approximately equal to $\displaystyle\frac{1}{11}$, then the approximate value of $0.454545$ is __________.

  1. $\displaystyle\frac{4}{11}$
  2. $\displaystyle\frac{5}{11}$
  3. $\displaystyle\frac{45}{11}$
  4. $\displaystyle\frac{6}{11}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

0.090909 is 1/11. 0.454545 is 5 times 0.090909, so it is 5 * 1/11 = 5/11.

AI explanation

Notice that the repeating decimal 0.454545 can be written as 5 multiplied by 0.090909. Substituting the given approximation of 1 divided by 11 for 0.090909 yields 5 multiplied by 1 divided by 11. Therefore, the approximate value is 5 divided by 11.

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