**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...

4/9 = .444...

5/9 = .555...

6/9 = .666...

7/9 = .777...

8/9 = .888...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 = .12/10 = .23/10 = .34/10 = .45/10 = .56/10 = .67/10 = .78/10 = .89/10 = .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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