Calculate the recurring decimal of fractions like 1/19 whose denominators end with 9. Learn a vedic math fraction tips and tricks.
1) denominator value 1's digit must be 9
2) denominator value must be prime number (19, 29, 39, 59,...)
1) Find the number of digit answer from denominator
2) First we find the half of the number of digit answer
3) Find x from denominator value
4) Always start with 1
5) Now, multiply last find digit to x value, if result is carry occurs to carry the value to next multiplication. Its up to reach m number of digits
6) Next to find the complement of rule 5 results of m digit values.
7) Now write answer from digit in reverse order from rule 6 and rule 5 with decimal point. Its Answer of given fraction value.
Rule 1 : n = 19 - 1 = 18
Rule 2 : m = 18 / 2 = 9
Rule 3 : x = 1 (Ekadhikena Purvena - digit previous to 9) + 1 = 2
Rule 4 : = 1 (first digit)
Rule 5 : = 1, (first digit)
1 * 2 (x) = 2,
2 * 2 = 4,
4 * 2 = 8,
8 * 2 = 16 (carry 1) = 6,
6 * 2 = 12 + 1 = 13 (carry 1) = 3,
3 * 2 = 6 + 1 = 7,
7 * 2 = 14 (carry 1) = 4
4 * 2 = 8 + 1 = 9
(m number of digits find i.e., 9 digits)
Rule 6 : 1 2 4 8 6 3 7 4 9
Complement (minus from 9) of this result is,
8 7 5 1 3 6 2 5 0
Rule 7 : digit in reverse order
0.052631578947368421
Result :
1/19 = 0.052631578947368421
