Question

pls answer this question

Answer 1

Step-by-step explanation:

Given,

$\sf 0.1\overline{24}$

To Find :-

p/q form of the number

Solution :-

$\sf 0.1\overline{24}$ = 0.1242424...

Let,

x = 0.1242424...

[Let it be Equation - 1]

Multiply equation - 1 with 100 :-

10(x) = 10(0.1242424..)

100x = 12.42424....

[Let it be Equation - 2]

Equation 2 - Equation 1 :-

100x - x = 12.4242424.. - 0.124242424...

99x = 11.3

x = 11.3/99

$\dfrac{11.3}{99} \times \dfrac{10}{10}$

= 113/990

p/q form of the number = 113/990.

Know More :-

1) Terminating Decimal :- The decimal number which has and end point.

Ex :- 12.5 , 6.3 etc..

2) Non - Terminating Decimal :- The decimal number which doesn't have and end point the number continues.

Ex :- 9. 561 432 989 ...