Question

represent 9.6 and 7.213 as in the of rational number

Answer 1

Rational numbers are those numbers which can be expressed in the form of p/q where q≠0 and p, q are integers as well as Co prime numbers.

Now, rational numbers can be of two types :

Terminating decimals
Non terminating repeating decimals.

The question asked is type2

Now,
Given number is 14.322222222222.....

Now ,
Let 14.3222222..... = x

So 10 x = 143.22222....
And, 100x = 1432.22222.....

Now subtracting the two

100x = 1432.2222......
10x = 143.2222...

We get 90x =1289
So,
X = 1289/90

So ,
14.32222.... = 1289/90

Hope this will be helping you ✌️