Reference This Calculation:
How to write 0.1009 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 0.1009 Repeating as a Fraction using the formula above, step by step instructions are given below
- Input the value as per formula.
(0.1009 x 104) - 0/104 -1
- Calculate the numerator and denominator part.
1009/9999
-
To simplify 1009/9999its lowest terms, find GCD (Greatest Common Divisor) for 1009 & 9999, which is 1. There is no simplest form of the above value for GCD to be 1. So you can skip step 3 and step 4 calculation. Here's How to Find GCD of 1009 and 9999?1009/1/9999/1
- After simplify or reduce the fraction.
1009/9999
0.1009 Repeating Decimal is 1009/9999 as a Fraction.
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