2.567 Repeating as a Fraction

What is 2.567 Repeating as a Fraction?

2.567 Repeating Decimal

= 2 21/37 as a Fraction

Formula How to
Share This Calculation:
Reference This Calculation:
Repeating Decimal as a Fraction

How to write 2.567 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 2.567 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (2.567 x 103) - 2/103 -1
  2. Calculate the numerator and denominator part.
    2565/999
  3. To simplify
    2565/999
    its lowest terms, find GCD (Greatest Common Divisor) for 2565 & 999, which is 27. Here's How to Find GCD of 2565 and 999?
    2565/27/999/27
  4. After simplify or reduce the fraction.
    95/37
    = 2
    21/37
    ;

Decimal Repeating as a Fraction
2.562 2560/999
2.563 2561/999
2.564 854/333
2.565 2563/999
2.566 2564/999
2.567 2565/999
2.568 95.037037037037/37
2.569 2567/999
2.57 255/99
2.571 856.33333333333/333
2.572 2570/999

2.567 Repeating Decimal is 95/37 or 2 21/37 as a Fraction.
Calculations