0.777777777 Repeating as a Fraction

What is 0.777777777 Repeating as a Fraction?

0.777777777 Repeating Decimal

= 7/9 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.777777777 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 0.777777777 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.777777777 x 109) - 0/109 -1
  2. Calculate the numerator and denominator part.
    777777777/999999999
  3. To simplify
    777777777/999999999
    its lowest terms, find GCD (Greatest Common Divisor) for 777777777 & 999999999, which is 111111111.
    777777777/111111111/999999999/111111111
  4. After simplify or reduce the fraction.
    7/9

Decimal Repeating as a Fraction
0.777777772 777777772/999999999
0.777777773 777777773/999999999
0.777777774 777777774/999999999
0.777777775 259259258.33333/333333333
0.777777776 777777776/999999999
0.777777777 777777777/999999999
0.777777778 7.000000009/9
0.777777779 777777779/999999999
0.77777778 7.00000009/9
0.777777781 259259260.33333/333333333
0.777777782 777777782/999999999

0.777777777 Repeating Decimal is 7/9 as a Fraction.
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