Question

Express 1.45 bar on 45
in the form of p/q.

Answer 1

1.454545...=x
145.454545....=100x
99x=144
x=144/99
x=16/11

Answer 2

↑ Here is your answer ↓
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$x = 1. \bar{45} --(1)$

Multiply by 100,

$100x =145.\bar {45} --(2)$

Now subtract (1) from (2),

$145. \bar {45} \\ 001. \bar {45} (-) \\ ----- \\ 144.00$

So,

$100x - x = 144$

$99x = 144$

$x = 144/99$

$x = 48/33$

In simplest form,

$x = 16/11$