express 0.134(bar on 34) as a rational number
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Here is your answer:
Let,
0.134(bar) = x0.134(bar)=x
Then ,
1.34(bar) = 10x1.34(bar)=10x & 134.34(bar) = 1000x.134.34(bar)=1000x.
Now, subtract 1000x & 10x, The .34 bar will get subtracted,
Then,
1000x-10x = 134.34(bar)- 1.34(bar)1000x−10x=134.34(bar)−1.34(bar)
990x = 133990x=133
x= \frac{133}{990}x=
990
133
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