0.7777 Repeating as a Fraction

What is 0.7777 Repeating as a Fraction?

0.7777 Repeating Decimal

= 864.11111111111/1111 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.7777 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 0.7777 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.7777 x 104) - 0/104 -1
  2. Calculate the numerator and denominator part.
    7777/9999
  3. To simplify
    7777/9999
    its lowest terms, find GCD (Greatest Common Divisor) for 7777 & 9999, which is 9. Here's How to Find GCD of 7777 and 9999?
    7777/9/9999/9
  4. After simplify or reduce the fraction.
    864.11111111111/1111

Decimal Repeating as a Fraction
0.7772 7772/9999
0.7773 2591/3333
0.7774 7774/9999
0.7775 7775/9999
0.7776 864/1111
0.7777 864.11111111111/1111
0.7778 7.000900090009/9
0.7779 7779/9999
0.778 7.009009009009/9
0.7781 7781/9999
0.7782 7782/9999

0.7777 Repeating Decimal is 864.11111111111/1111 as a Fraction.
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