0.102 Repeating as a Fraction

What is 0.102 Repeating as a Fraction?

0.102 Repeating Decimal

= 34/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.102 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 0.102 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.102 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    102/999
  3. To simplify
    102/999
    its lowest terms, find GCD (Greatest Common Divisor) for 102 & 999, which is 3. Here's How to Find GCD of 102 and 999?
    102/3/999/3
  4. After simplify or reduce the fraction.
    34/333

0.102 Repeating Decimal is 34/333 as a Fraction.

Decimal Repeating as a Fraction
0.097 32.333333333333/333
0.098 98/999
0.099 99/999
0.1 0.11111111111111/1
0.101 101/999
0.102 34/333
0.103 103/999
0.104 104/999
0.105 35/333
0.106 106/999
0.107 107/999
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