Question

write 0.2454545454........... in the form p/q

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

GIVEN:-

• Write 0.24545454 in the form of p/q.

Now,

Let the Number be X

$\implies\rm{x=0.24545454}$........1

Multiplying both the sides by 10,100 & 1000.

$\implies\rm{10\times{x}=10\times{0.2454..}}$

$\implies\rm{10x=2.45454..}$.......2

Again,

$\implies\rm{100\times{x}=100\times{0.245454...}}$

$\implies\rm{100x=24.545454...}$...........3

Again,

$\implies\rm{1000\times{x}=1000\times{0.2454545..}}$

$\implies\rm{1000x=245.45..}$........4

Subtracting eq 4 from eq.2

$\implies\rm{1000x-10x=245.45-2.4545}$

$\implies\rm{990x=243}$

$\implies\rm{x=\dfrac{243}{990}}$.