Question

Convert p/q form of 3.17bar

Answer 1

Answer:

314/99

Note:

• Rational number : A number that can be written in the form of p/q where p and q are integers but q≠0 is called rational number.

• Rational number can be characterized in following ways :-

1. Terminating

2. Non-terminating but repeating

(or Non-terminating but recurring)

• Irrational number : A number that can not be written in the form of p/q where p and q are integers but q≠0 is called rational number.

• Irrational number is characterized as :

Non-terminating non-repeating

(or Non-terminating non-recurring)

Solution:

Let the given number be x .

Thus,

x = 3.171717...... --------(1)

Now,

Multiplying both sides of eq-(1) with 100 , we get ;

=> 100x = 100•3.171717........

=> 100x = 317.171717......... ------(2)

Now,

Subtracting eq-(1) from eq-(1) , we get;

=> 100x - x = 317.171717..... – 3.171717.......

=> 99x = 314

=> x = 314/99

Hence,

3.171717...... = 314/99

Answer 2

$\huge{\boxed{\red{Ravan\;Maharaj}}}$

x = 3.17 bar---(1)

100x = 317.17bar----(2)

Equation (2) - Equation (1)

99x = 314

X= 314/99

$\huge{\boxed{\red{Ravan\;Maharaj}}}$