0.1005 Repeating as a Fraction

What is 0.1005 Repeating as a Fraction?


0.1005 Repeating Decimal

= 335/3333 as a Fraction

Formula How to

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How to write 0.1005 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 0.1005 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.1005 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    1005/9999
  3. To simplify
    1005/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 1005 & 9999, which is 3. Here's How to Find GCD of 1005 and 9999?
    1005/3/9999/3
  4. After simplify or reduce the fraction.
    335/3333

0.1005 Repeating Decimal is 335/3333 as a Fraction.

Decimal Repeating as a Fraction
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
0.1007 1007/9999
0.1008 112/1111
0.1009 1009/9999