Reference This Calculation:
How to write 0.198 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 0.198 Repeating as a Fraction using the formula above, step by step instructions are given below
- Input the value as per formula.
(0.198 x 103) - 0/103 -1
- Calculate the numerator and denominator part.
198/999
-
To simplify 198/999its lowest terms, find GCD (Greatest Common Divisor) for 198 & 999, which is 9. Here's How to Find GCD of 198 and 999?198/9/999/9
- After simplify or reduce the fraction.
22/111
0.198 Repeating Decimal is 22/111 as a Fraction.
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