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Question

If X = 0.72444444…, then find the fractional value of X.

This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is

652/900

652/900 is correct.

In \(0.72\overline{4}\) the digits 7 and 2 do not repeat, while 4 repeats.

For such a mixed recurring decimal, take the whole digit string minus the non-repeating part, over one 9 for each repeating digit followed by one 0 for each non-repeating digit.

\(X=\dfrac{724-72}{900}=\dfrac{652}{900}\).

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Important Questions from Decimals

  1. What is the result when 0.129129129… is converted to a fraction?

  2. Which of the following statement(s) is/are correct?

    I. (3/11) > 0.3

    II. (7/8) > 0.86

  3. The value of \(1.\overline{3}+0.\overline{69}-0.5\overline{23}\)  is equal to:

  4. The value of \(0.\bar 4 + 0.5 \bar 9 - 0.4 \overline{23}\)  is equal to:

  5. Find the sum of \(\frac{0.01}{0.1}+\frac{0.1}{0.01}\)

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