0.049 Repeating as a Fraction

What is 0.049 Repeating as a Fraction?

0.049 Repeating Decimal

= 49/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.049 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 0.049 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.049 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    49/999
  3. To simplify
    49/999
    its lowest terms, find GCD (Greatest Common Divisor) for 49 & 999, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 49 and 999?
    49/1/999/1
  4. After simplify or reduce the fraction.
    49/999

Decimal Repeating as a Fraction
0.044 44/999
0.045 5/111
0.046 46/999
0.047 47/999
0.048 16/333
0.049 49/999
0.05 5/99
0.051 17/333
0.052 52/999
0.053 53/999

0.049 Repeating Decimal is 49/999 as a Fraction.
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