.296 Repeating as a Fraction

What is .296 Repeating as a Fraction?


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How to write .296 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or mixed fraction. Just enter the Decimal value into the input box and then press calculate button, the system will automatically calculate the Fraction value.

To conversion Repeating Decimal number to Fraction use this fromula-

(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;
Repeating Decimal to Fraction Formula

For calculation, here's how to convert .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

.296 Repeating Decimal is 8/27 as a Fraction.

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