Question

Expreaa o.4040 in p/q form

Answer 1

Answer :

1)

Let, x = 0.4040

So, 1000x = 404

⇒ x = 404/100

⇒ x = 101/250

So, 0.4040 = 101/250 [in p/q form]

2)

Let, x = 0.40404040...

So, 100x = 40.404040...

Now, 100x - x = 40.4040... - 0.4040...

⇒ 99x = 40

⇒ x = 40/99

So, 0.404040... = 40/99 [in p/q form]

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