0.084 Repeating as a Fraction

What is 0.084 Repeating as a Fraction?

0.084 Repeating Decimal

= 28/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.084 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 0.084 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.084 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    84/999
  3. To simplify
    84/999
    its lowest terms, find GCD (Greatest Common Divisor) for 84 & 999, which is 3. Here's How to Find GCD of 84 and 999?
    84/3/999/3
  4. After simplify or reduce the fraction.
    28/333

Decimal Repeating as a Fraction
0.079 79/999
0.08 8/99
0.081 3/37
0.082 82/999
0.083 83/999
0.084 28/333
0.085 85/999
0.086 86/999
0.087 29/333
0.088 88/999
0.089 89/999

0.084 Repeating Decimal is 28/333 as a Fraction.
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