.888 Repeating as a Fraction

What is .888 Repeating as a Fraction?


0.888 Repeating Decimal

= 8/9 as a Fraction

Formula How to

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How to write 0.888 Repeating as a Fraction? To convert a repeating decimal to a fraction, you set up an equation where the repeating decimal equals a variable, multiply to shift the repeating part, subtract to eliminate the repeating part, and solve for the variable. This method works for any repeating decimal.

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 0.888 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.888 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    888/999
  3. To simplify
    888/999
    its lowest terms, find GCD (Greatest Common Divisor) for 888 & 999, which is 111. Here's How to Find GCD of 888 and 999?
    888/111/999/111
  4. After simplify or reduce the fraction.
    8/9

Decimal Repeating as a Fraction
0.883 883/999
0.884 884/999
0.885 295/333
0.886 886/999
0.887 887/999
0.888 8/9
0.889 889/999
0.89 89/99
0.891 33/37
0.892 892/999
0.893 893/999

.888 Repeating Decimal is 8/9 as a Fraction.