0.213 Repeating as a Fraction

What is 0.213 Repeating as a Fraction?

0.213 Repeating Decimal

= 71/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.213 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 0.213 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.213 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    213/999
  3. To simplify
    213/999
    its lowest terms, find GCD (Greatest Common Divisor) for 213 & 999, which is 3. Here's How to Find GCD of 213 and 999?
    213/3/999/3
  4. After simplify or reduce the fraction.
    71/333

Decimal Repeating as a Fraction
0.208 208/999
0.209 209/999
0.21 7/33
0.211 211/999
0.212 212/999
0.213 71/333
0.214 214/999
0.215 215/999
0.216 8/37
0.217 217/999
0.218 218/999

0.213 Repeating Decimal is 71/333 as a Fraction.
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