Recurring Decimal Number to Fraction Conversion
Enter Decimal Fraction Value
To use this calculater insert the recurring part and non-recurring part in specified columns.
a) If you have 0.22222... as decimal, enter the non recurring part 0 in non-recurring field and 2 in recuring field.
b) If you have 2.56231231... as decimal, insert the non recurring part 2.56 in non-recurring field and mixed recuring number 231 in recuring field.
Example:
2/9 will result in 0.2222222...... This is called as recurring decimal.
Step-by-step solution
Convert a recurring decimal 0.277.. into a fraction
x = 0.277..
10x = 2.77..
100x = 27.77..
Now we have two equations with the same recurring part we subtract one from the otherone(100x - 10x and 27.77.. - 2.77..)
90x =25
=25/90
=5/18