0.117 Repeating as a Fraction

What is 0.117 Repeating as a Fraction?

0.117 Repeating Decimal

= 13/111 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.117 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 0.117 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.117 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    117/999
  3. To simplify
    117/999
    its lowest terms, find GCD (Greatest Common Divisor) for 117 & 999, which is 9. Here's How to Find GCD of 117 and 999?
    117/9/999/9
  4. After simplify or reduce the fraction.
    13/111

0.117 Repeating Decimal is 13/111 as a Fraction.

Decimal Repeating as a Fraction
0.112 112/999
0.113 113/999
0.114 38/333
0.115 115/999
0.116 116/999
0.117 13/111
0.118 118/999
0.119 119/999
0.12 4/33
0.121 121/999
0.122 122/999
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