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83.3 recurring divided by 1.3 recurring

 Oct 13, 2017
 #1
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+1

83.3 recurring is the same as 8313

1.3 recurring is the same as 113

So your problem is equivalent to 8313113

To be clearer, make them both into improper fractions.

Multiply the whole number by the denominator and add it to the numerator.

For the top, 83*3=249

Adding that to the numerator gives 250.

For the bottom, 1*3=3

Adding that to the numerator gives 4.

250343

Anything divided by a fraction is the same as it multiplied by the fraction's reciprocal.

250334

250*3=750

3*4=12

75012

Simplify

75012=3756

That is as far as that fraction can be simplified, but it is equivalent to 62.5

75012=3756=62.5

 Oct 13, 2017

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