We have seen how to find the decimals of fractions of number 7 and decimals of fractions of number 13 so far.Similarly we are going to find decimals for numbers divided by 17 and 19.
Example 1 :
What is the result of 1/17 ? Convert to a decimal
To solve this, we use Kamse Kshaamadaaha-khalairmalaih: "For 17 the multiplicand is 05882353"
We multiply the multiplicand (05882353) by 99999999 using Ekanyunena Purvena or One less than the Previous sutra.We use the same number of digits for multiplying ,so " 99999999 "
'Now ,05882353 * 99999999 = ?
Using One less than the Previous sutra,
05882353- 1=05882352
99999999 - 05882352 = 94117647
We get Result = 0588235294117647
Now multiply the result by the numerator ,
0588235294117647 * 1 =0588235294117647
Place a decimal point at the beginning as 0.0588235294117647
AS SIMPLE AS THAT
Therefore , 1/17 = 0.0588235294117647
Example 2:
What is the result of 2/17 ? Convert to a decimal
To solve this, we use Kamse Kshaamadaaha-khalairmalaih: "For 17 the multiplicand is 05882353"
We multiply the multiplicand (05882353) by 99999999 using Ekanyunena Purvena or One less than the Previous sutra.We use the same number of digits for multiplying ,so '999'.
Now ,05882353 * 99999999 = ?
Using One less than the Previous sutra,
05882353- 1=05882352
99999999 - 05882352 = 94117647
We get Result = 0588235294117647
Now multiply the result by the numerator ,
0588235294117647 * 2 =1176470588235284
Place a decimal point at the beginning as 0.1176470588235284
AS SIMPLE AS THAT
Therefore , 1/17 = 0.1176470588235284
NOTE:
We can do this for any fractions ONLY if we know its multiplicand which can be easy found by (1/anynumber).
PS:
To calculate 1/19 ,1/29 , 1/39 .....1/119, 1/129..etc in easy vedic way
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