Ekadhikena Purvena in Converting Fractions to Decimals - Vedic Maths
by Francis[ Edit ] 2013-06-01 10:32:09
Ekadhikena Purvena in Converting Fractions to Decimals - Vedic Maths
Vedic maths is an ancient mathematics. This formulas formed from four Vedas. Its easiest method to find the decimal from the fraction.
Condition
In fraction,
1) denominator value 1's digit must be 9
2) denominator value must be prime number (19, 29, 39, 59,...)
Calculation Rules
1) Find the number of digit answer from denominator
n = denominator value - 1
2) First we find the half of the number of digit answer
m = n / 2
3) Find x from denominator value
Remove 1's digit and remaining value (Purvena) add by 1
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 give fraction value.
Example
Fraction = 1/19
Rule 1 ==> n = 19 - 1 = 18
Rule 2 ==> m = 18 / 2 = 9
Rule 3 ==> x = 1 (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
