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Question

How do you convert 0.83˙ to a fraction?


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Solution

Converting 0.83˙ to a fraction:

Let x=0.83˙ …(i)

Then x=0.8333˙ and

10x=10×0.83333˙10x=8.3˙...(ii)

Again multiply by 10 in equation (ii)

100x=83.3˙...(iii)

Subtract equation (ii) from (iii)

100x-10x=83.3˙-8.3˙90x=75x=7590x=56

Therefore, 0.83˙=56.


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