0.375 Repeating as a Fraction

What is 0.375 Repeating as a Fraction?

0.375 Repeating Decimal

= 125/333 as a Fraction

Formula How to
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Repeating Decimal as a Fraction

How to write 0.375 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 0.375 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.375 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    375/999
  3. To simplify
    375/999
    its lowest terms, find GCD (Greatest Common Divisor) for 375 & 999, which is 3. Here's How to Find GCD of 375 and 999?
    375/3/999/3
  4. After simplify or reduce the fraction.
    125/333

Decimal Repeating as a Fraction
0.37 37/99
0.371 371/999
0.372 124/333
0.373 373/999
0.374 374/999
0.375 125/333
0.376 376/999
0.377 377/999
0.378 14/37
0.379 379/999
0.38 38/99

0.375 Repeating Decimal is 125/333 as a Fraction.
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