0.021 Repeating as a Fraction

What is 0.021 Repeating as a Fraction?

0.021 Repeating Decimal

= 7/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.021 Repeating as a Fraction? To convert a repeating decimal to a fraction, you set up an equation where the repeating decimal equals a variable, multiply to shift the repeating part, subtract to eliminate the repeating part, and solve for the variable. This method works for any repeating decimal.

To conversion Repeating Decimal number to Fraction use this fromula, which is given below-

(D × 10R) - N/10R -1

Where,

  • D = The whole decimal number;
  • R = Count the number of repeating part of decimal number;
  • N = Value of non-repeating part of decimal number;

For calculation, here's how to convert 0.021 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.021 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    21/999
  3. To simplify
    21/999
    its lowest terms, find GCD (Greatest Common Divisor) for 21 & 999, which is 3. Here's How to Find GCD of 21 and 999?
    21/3/999/3
  4. After simplify or reduce the fraction.
    7/333

Decimal Repeating as a Fraction
0.016 16/999
0.017 17/999
0.018 2/111
0.019 19/999
0.02 2/99
0.021 7/333
0.022 22/999
0.023 23/999
0.024 8/333
0.025 25/999

0.021 Repeating Decimal is 7/333 as a Fraction.
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