0.318 Repeating as a Fraction

What is 0.318 Repeating as a Fraction?

0.318 Repeating Decimal

= 106/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.318 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 0.318 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.318 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    318/999
  3. To simplify
    318/999
    its lowest terms, find GCD (Greatest Common Divisor) for 318 & 999, which is 3. Here's How to Find GCD of 318 and 999?
    318/3/999/3
  4. After simplify or reduce the fraction.
    106/333

Decimal Repeating as a Fraction
0.313 313/999
0.314 314/999
0.315 35/111
0.316 316/999
0.317 317/999
0.318 106/333
0.319 319/999
0.32 32/99
0.321 107/333
0.322 322/999
0.323 323/999

0.318 Repeating Decimal is 106/333 as a Fraction.
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