Question

Write the forms of p/q0. 16bar​

Answer 1

Answer:

$0. \overline{ 16}$

Let x = 0.161616.... (i)

100x = 16.161616 ...... (ii)

Subtracting (i) from (ii),

100x - x = 16 - 0

99x = 16

x = $\dfrac{16}{99}$

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Answer 2

$let \: x = 0. 16bar \\ multiply \: by \: 100 \: on \: each \: side \\ 100x = 16.16bar \\ now \: subtract \: equation \: first \: from \: equation \: second \\ 100x - x = 16.16bar - 0.16bar \\ 99x = 16 \\ x = \frac{16}{99}$