.037 Repeating as a Fraction

What is .037 Repeating as a Fraction?

0.037 Repeating Decimal

= 1/27 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.037 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 0.037 Repeating as a Fraction using the formula above, step by step instructions are given below

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

Decimal Repeating as a Fraction
0.032 32/999
0.033 11/333
0.034 34/999
0.035 35/999
0.036 4/111
0.037 1/27
0.038 38/999
0.039 13/333
0.04 4/99
0.041 41/999

.037 Repeating Decimal is 1/27 as a Fraction.
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