0.296 Repeating as a Fraction

What is 0.296 Repeating as a Fraction?

0.296 Repeating Decimal

= 8/27 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.296 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 0.296 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.296 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    296/999
  3. To simplify
    296/999
    its lowest terms, find GCD (Greatest Common Divisor) for 296 & 999, which is 37. Here's How to Find GCD of 296 and 999?
    296/37/999/37
  4. After simplify or reduce the fraction.
    8/27

Decimal Repeating as a Fraction
0.291 97/333
0.292 292/999
0.293 293/999
0.294 98/333
0.295 295/999
0.296 8/27
0.297 11/37
0.298 298/999
0.299 299/999
0.3 1/3
0.301 301/999

0.296 Repeating Decimal is 8/27 as a Fraction.
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