1.875 Repeating as a Fraction

What is 1.875 Repeating as a Fraction?

1.875 Repeating Decimal

= 1 875/999 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 1.875 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 1.875 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (1.875 x 103) - 1/103 -1
  2. Calculate the numerator and denominator part.
    1874/999
  3. To simplify
    1874/999
    its lowest terms, find GCD (Greatest Common Divisor) for 1874 & 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 1874 and 999?
    1874/1/999/1
  4. After simplify or reduce the fraction.
    1874/999
    = 1
    875/999
    ;

Decimal Repeating as a Fraction
1.87 62/33
1.871 1870/999
1.872 1871/999
1.873 1872/999
1.874 208.11111111111/111
1.875 1874/999
1.876 1875/999
1.877 625.33333333333/333
1.878 1877/999
1.879 1878/999
1.88 62.333333333333/33

1.875 Repeating Decimal is 1874/999 or 1 875/999 as a Fraction.
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