0.105 Repeating as a Fraction

What is 0.105 Repeating as a Fraction?

0.105 Repeating Decimal

= 35/333 as a Fraction

Formula How to
Share This Calculation:
Reference This Calculation:
Repeating Decimal as a Fraction

How to write 0.105 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 0.105 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.105 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    105/999
  3. To simplify
    105/999
    its lowest terms, find GCD (Greatest Common Divisor) for 105 & 999, which is 3. Here's How to Find GCD of 105 and 999?
    105/3/999/3
  4. After simplify or reduce the fraction.
    35/333

0.105 Repeating Decimal is 35/333 as a Fraction.

Decimal Repeating as a Fraction
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
0.108 4/37
0.109 109/999
0.11 1/9
Calculations