2.021 Repeating as a Fraction

What is 2.021 Repeating as a Fraction?

2.021 Repeating Decimal

= 2 7/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.021 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or a repeating decimal number as a mixed fraction. Just enter the Decimal value into the input box and then press calculate button, the system will automatically calculate the Fraction value.

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 2.021 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.021 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2019/999
  3. To simplify
    2019/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2019 & 999, which is 3. Here's How to Find GCD of 2019 and 999?
    2019/3/999/3
  4. After simplify or reduce the fraction.
    673/333
    = 2
    7/333
    ;

2.021 Repeating Decimal is 673/333 or 2 7/333 as a Fraction.

Decimal Repeating as a Fraction
2.016 2014/999
2.017 2015/999
2.018 2016/999
2.019 224.11111111111/111
2.02 200/99
2.021 2019/999
2.022 673.33333333333/333
2.023 2021/999
2.024 2022/999
2.025 674.33333333333/333
2.026 2024/999
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