0.195 Repeating as a Fraction

What is 0.195 Repeating as a Fraction?

0.195 Repeating Decimal

= 65/333 as a Fraction

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

How to write 0.195 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 0.195 Repeating as a Fraction using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    (0.195 x 103) - 0/103 -1
  2. Calculate the numerator and denominator part.
    195/999
  3. To simplify
    195/999
    its lowest terms, find GCD (Greatest Common Divisor) for 195 & 999, which is 3. Here's How to Find GCD of 195 and 999?
    195/3/999/3
  4. After simplify or reduce the fraction.
    65/333

Decimal Repeating as a Fraction
0.19 19/99
0.191 191/999
0.192 64/333
0.193 193/999
0.194 194/999
0.195 65/333
0.196 196/999
0.197 197/999
0.198 22/111
0.199 199/999
0.2 2/9

0.195 Repeating Decimal is 65/333 as a Fraction.
Calculations