Question

p/q form of 0.1222... is___________ *​

Answer 1

Step-by-step explanation:

it is rewiring no.

so the p/q form will be 4/33

hope you are satisfied plz give brainliest

Answer 2

Step-by-step explanation:

Given :-

0.1222...

To find:-

Write the p/q form of 0.1222...

Solution:-

Given number = 0.1222...

Let X = 0.1222...-------------(1)

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

=> X×10 = 0.1222...×10

10X = 1.222...---------------(2)

On Subtracting (1) from (2)

=> (2)-(1)

10X = 1.2222...

X = 0.1222...

(-)

____________

9X = 1.1000...

____________

9X = 1.1

On multiplying 10 on both sides then

=> 90 X = 1.1×10

=> 90X = 11

=> X = 11/90

0.1222... = 11/90

Answer:-

p/q form of the given number is 11/90

Used formula:-

Periodicity:-

The number of digits in the recurring pat of a non terminating recurring decimal is called its periodicity.