11.6 Repeating as a Fraction

What is 11.6 Repeating as a Fraction?

11.6 Repeating Decimal

= 11 2/3 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 11.6 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 11.6 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (11.6 x 101) - 11/101 -1
  2. Calculate the numerator and denominator part.
    105/9
  3. To simplify
    105/9
    its lowest terms, find GCD (Greatest Common Divisor) for 105 & 9, which is 3. Here's How to Find GCD of 105 and 9?
    105/3/9/3
  4. After simplify or reduce the fraction.
    35/3
    = 11
    2/3
    ;

11.6 Repeating Decimal is 35/3 or 11 2/3 as a Fraction.

Decimal Repeating as a Fraction
11.1 100/9
11.2 101/9
11.3 102/9
11.4 34.333333333333/3
11.5 104/9
11.6 105/9
11.7 35.333333333333/3
11.8 107/9
11.9 108/9
12.1 12.111111111111/1
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