Question

1.
Express the following in the form of p/q
4.5 bar​

Answer 1

Step-by-step explanation:

Given:-

4.5 bar

To find:-

Write the p/q form of 4.5 bar ?

Solution:-

Given number = 4.5 bar

Let X = 4.5 bar

X = 4.555...__________(1)

Since ,the periodicity is 1 then multiply (1) with 10 then

=> X × 10 = 4.555...× 10

=> 10 X = 45.555..._____(2)

On subtracting (1) from (2)

=>(2)-(1)

10X = 45.555...

X = 4.555...

(-)

_______________

9X = 41.000...

________________

=> 9X = 41

=> X = 41/9

Therefore, 4.5 bar = 41/9

Answer:-

The p/q form or rational form of the number 4.5 bar is 41/9

Used formulae:-

Periodicity:-

The number of digits in the recurring part of a decimal number is called its periodicity.

Answer 2

This is the correct answer in p/q form

41/9