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07-06-2016
Mathematics

contestada

what is 2.16 repeated as a decimal

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Julia42103 Julia42103

07-06-2016

Ok, so what we want to do here is first remove the repeating decimal.

x=2.16 repeating
10x=21.6 repeating
100x=216.6 repeating

Subtract 10x=21.6 repeating from 100x=216.6 repeating. This will get rid of the repeating numbers.

100x=216.6 repeating
-10x=21.6 repeating
__________________
90x=195

Divide both sides by 90.

x=195/90

Now you can simplify that into 13/6.

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