Question

express 0.123(3 bar) in the form of p/q,where p and q are integers.​

Answer 1

Answer:

Let x = 0.123 (bar)

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Multiply by 100,

100*x = 100*0.123 (bar)

100x = 12. 3(bar)

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As there is one number (3) under bar, multiply by 10

10 *100x = 10 * 12.3 (bar)

1000x = 123. 3 bar

subtract 100x from both sides,

1000x = 123.3 (bar)

-100x = -12. 3 (bar)

900x = 111 [bar will cancel]

x= \frac{111}{900}x=

900

111

Now,

0.123 (bar on 3) in p/q form is \frac{111}{900}

900

111

i hope this will help you

Answer 2

Answer:

12210/99000

Step-by-step explanation:

(i) x = 0.123(3bar)

10x = 1.23(3bar)

(ii) 100x = 12.3(3bar)

substracting (i) and (ii)

100x - x = 12.3(3bar) - 0.123(3bar)

99x = 12.210

x = 12.210/99

x = 12210/99000

Hope it helps !!