4.138 Repeating as a Fraction

What is 4.138 Repeating as a Fraction?


4.138 Repeating Decimal

= 4 46/333 as a Fraction

Formula How to

Share This Calculation:
Reference This Calculation:

How to write 4.138 Repeating as a Fraction? Convert a repeating decimal number as a simplified fraction or a repeating decimal number as a mixed fraction. Just enter the Decimal value into the input box and then press calculate button, the system will automatically calculate the Fraction value.

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 4.138 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (4.138 x 103) - 4/103 -1
  2. Calculate the numerator and denominator part.
    4134/999
  3. To simplify
    4134/999
    its lowest terms, find GCD (Greatest Common Divisor) for 4134 & 999, which is 3. Here's How to Find GCD of 4134 and 999?
    4134/3/999/3
  4. After simplify or reduce the fraction.
    1378/333
    = 4
    46/333
    ;

4.138 Repeating Decimal is 1378/333 or 4 46/333 as a Fraction.

Decimal Repeating as a Fraction
4.133 4129/999
4.134 4130/999
4.135 153/37
4.136 4132/999
4.137 4133/999
4.138 1378/333
4.139 4135/999
4.14 410/99
4.141 1379/333
4.142 4138/999