2.33333 Repeating as a Fraction

What is 2.33333 Repeating as a Fraction?

2.33333 Repeating Decimal

= 2 1/3 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 2.33333 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 2.33333 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.33333 x 105) - 2/105 -1
  2. Calculate the numerator and denominator part.
    233331/99999
  3. To simplify
    233331/99999
    its lowest terms, find GCD (Greatest Common Divisor) for 233331 & 99999, which is 33333. Here's How to Find GCD of 233331 and 99999?
    233331/33333/99999/33333
  4. After simplify or reduce the fraction.
    7/3
    = 2
    1/3
    ;

Decimal Repeating as a Fraction
2.33328 233326/99999
2.33329 233327/99999
2.3333 7/3
2.33331 233329/99999
2.33332 233330/99999
2.33333 7/3
2.33334 233332/99999
2.33335 233333/99999
2.33336 25926/11111
2.33337 233335/99999

2.33333 Repeating Decimal is 7/3 or 2 1/3 as a Fraction.
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