0.1002 Repeating as a Fraction

What is 0.1002 Repeating as a Fraction?


0.1002 Repeating Decimal

= 334/3333 as a Fraction

Formula How to

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How to write 0.1002 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 0.1002 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.1002 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    1002/9999
  3. To simplify
    1002/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 1002 & 9999, which is 3. Here's How to Find GCD of 1002 and 9999?
    1002/3/9999/3
  4. After simplify or reduce the fraction.
    334/3333

0.1002 Repeating Decimal is 334/3333 as a Fraction.

Decimal Repeating as a Fraction
0.0997 997/9999
0.0998 998/9999
0.0999 111/1111
0.1 1/9
0.1001 91/909
0.1002 334/3333
0.1003 1003/9999
0.1004 1004/9999
0.1005 335/3333
0.1006 1006/9999