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Express 3.72727272727... as a rational number, in the form pq

User Sunriax
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1 Answer

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Hi there!

Let x = 3. 72727.... ---(i)

Multiply 100 in eqn. (i)

100x = 372. 72727... ---(ii)

Subtract Eqn. (i) from (ii)

100x - x = 372. 7272... - 3. 7272...

99x = 369

x =
\frac {369}{99}

x =
\frac {41}{11}

Hence,
\frac {41}{11} is th' required p-q form.


~ Hope it helps!
User Giopas
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