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# One less than the previous - For 7 the Multiplicand is 143

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PART  2 : FOR FINDING DECIMALS OF FRACTIONS

For 7 the Multiplicand is 143

It is also called as ' Kevalaih Saptakam Gunyat ' which is the corollary to Paraavartya Yojayet, the fourth sutra of Vedic mathematics. This sutra is helpful for decimals for which the denominator is 7.

Example 1
What is the result of 1/7 ? Convert to a decimal

We multiply the multiplicand (143) by 999 using Ekanyunena Purvena or One less than the Previous sutra.We use the same number of digits for multiplying ,so '999'

Now ,143 * 999 =?

Using One less than the Previous sutra,
143 - 1=142
999 - 142 =857
We get Result = 142857

Now multiply the result by the numerator of (1/7) ,
142857 * 1 =142857

Place a decimal point at the beginning as 0.142857

AS SIMPLE AS THAT

Therefore , 1/7 = 0.142857

Example 2
What is the result of 2/7 ? Convert to a decimal

We multiply the multiplicand (143) by 999 using Ekanyunena Purvena or One less than the Previous sutra.We use the same number of digits for multiplying ,so '999'
Now ,143 * 999 =?

Using One less than the Previous sutra,
143 - 1=142
999 - 142 =857
We get Result = 142857

Now multiply the result by the numerator of ( 2/7) ,
142857 * 2 =285714
Place a decimal point at the beginning as 0.285714

AS SIMPLE AS THAT

Therefore , 1/7 = 0.285714

Similarly the result can be found out for any numerical value for fractions by '7'.Sounds fun!Is'nt it?...Work out and Enjoy!

Next time we can see how to find decimals of any number when divided by 13 ,17 and 19.i.e; Fractions of 13 ,17 and 19.

You will love this : Decimals of any number for fractions of 9
1/9 = .111... - (1 *.111)
2/9 = .222... - (2 *.111)
3/9 = .333... - (3 *.111)
4/9 = .444... - (4 *.111)
5/9 = .555... - (5 *.111)
6/9 = .666... - (6 *.111)
7/9 = .777... - (7 *.111)
8/9 = .888...
- (8 *.111)

From the above we know that (1/9) =.111 , so any number divided by 9 say 21/9 gives you 21 * 0.111 =2.3333 and so on
Similarly for 10  and 11,the decimals are
 1/10 = .1 2/10 = .2 3/10 = .3 4/10 = .4 5/10 = .5 6/10 = .6 7/10 = .7 8/10 = .8 9/10 = .9 1/11 = .090909... 2/11 = .181818... 3/11 = .272727... 4/11 = .363636... 5/11 = .454545... 6/11 = .545454... 7/11 = .636363... 8/11 = .727272... 9/11 = .818181... 10/11 = .909090...

Decimals for fractions of 13 in a minute

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