Question

Q18. The p/q form of 0.44444--
is
(A) 4/10
(B) 4/100
(C) 4/9
(D) None of these​

Answer 1

Answer:

Step-by-step explanation:

x=0.44444....equ1

Multiple both sides by 10

10x=4.4444444......equ2

Subtract Equ2-Eq1

10x=4.4444444

x=0.4444444

______________

9x=4

x=4/9

Answer 2

★Given:

number(x) = 0.4444......

★To find :

p/q form of 0.444444....

★Solution :

$\rm{x = 0.444.....} \: or \\ \rm{x = 0. \overline{4} - - - - - (1)} \\ \\ by\: multiplying\:10\:on\:both\:sides\\ \\ \rm{10x = 4. \overline{4} - - - - - - (2)} \\ \\ \rm{subtracting \: (1) \: from \: (2)} \\ \rm{10x - x = 4. \overline{4} - 0. \overline{4}}$

$9x = 4 \\ \\ \\ {\boxed{\pink{x = \frac{4}{9}}}}\\ \\ \\ Answer - option \:c$