Question

$express \: 0.235235235.......in \: the \: form \: of \: \frac{p}{q} \: where \: p \: and \: q \: are \: integers \: and \: q is \: not \: equel \: to \: 0$
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Answer 1

Answer:

hence, 0.2353535 in the form on p/q 233/990

Step-by-step explanation:

i hope i cleard you

Answer 2

Answer:

Given a number 0.2353535…….

We need to prove 0.2353535… = 0.235‾ can be expressed in the form of p/q, where p and q are integers and q ≠zero

Proof:

Let us assume that

x = 0.2353535…

⟹x = 0.235 ——————(i)

On Multiplying both sides by 100 of equation (i) we get,

100x = 100 × 0.2353535…

⟹100x = 23.53535————–(ii)

Subtracting equation (i) from equation (ii) we get,

100x – x = 23.53535 – 0.2353535…

⟹99x = 23.2999965

⟹x = 23.2999965/99

⟹x = 233/990

⟹x = 0.2353535

Therefore, x = 0.2353535…= 0.235‾ can be expressed in the form of p/q as 233/ 990 and here q=990 (q≠0)

Hence proved.