0.522 Repeating as a Fraction

What is 0.522 Repeating as a Fraction?

0.522 Repeating Decimal

= 58/111 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.522 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 0.522 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.522 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    522/999
  3. To simplify
    522/999
    its lowest terms, find GCD (Greatest Common Divisor) for 522 & 999, which is 9. Here's How to Find GCD of 522 and 999?
    522/9/999/9
  4. After simplify or reduce the fraction.
    58/111

Decimal Repeating as a Fraction
0.517 517/999
0.518 14/27
0.519 173/333
0.52 52/99
0.521 521/999
0.522 58/111
0.523 523/999
0.524 524/999
0.525 175/333
0.526 526/999
0.527 527/999

0.522 Repeating Decimal is 58/111 as a Fraction.
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