0.972 Repeating as a Fraction

What is 0.972 Repeating as a Fraction?


0.972 Repeating Decimal

= 36/37 as a Fraction

Formula How to

Share This Calculation:
Reference This Calculation:

How to write 0.972 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 0.972 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.972 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    972/999
  3. To simplify
    972/999
    its lowest terms, find GCD (Greatest Common Divisor) for 972 & 999, which is 27. Here's How to Find GCD of 972 and 999?
    972/27/999/27
  4. After simplify or reduce the fraction.
    36/37

Decimal Repeating as a Fraction
0.967 967/999
0.968 968/999
0.969 323/333
0.97 97/99
0.971 971/999
0.972 36/37
0.973 973/999
0.974 974/999
0.975 325/333
0.976 976/999
0.977 977/999

0.972 Repeating Decimal is 36/37 as a Fraction.