2.118 Repeating as a Fraction

What is 2.118 Repeating as a Fraction?


2.118 Repeating Decimal

= 2 118/999 as a Fraction

Formula How to

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How to write 2.118 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 2.118 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.118 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2116/999
  3. To simplify
    2116/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2116 & 999, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 2116 and 999?
    2116/1/999/1
  4. After simplify or reduce the fraction.
    2116/999
    = 2
    118/999
    ;

2.118 Repeating Decimal is 2116/999 or 2 118/999 as a Fraction.

Decimal Repeating as a Fraction
2.113 2111/999
2.114 704/333
2.115 704.33333333333/333
2.116 2114/999
2.117 2115/999
2.118 235.11111111111/111
2.119 2117/999
2.12 19.090909090909/9
2.121 706.33333333333/333
2.122 2120/999
2.123 2121/999