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8 6/15 to the nearest whole number

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The nearest whole number would be 8.

Lets say that "#" is a filled in space and "()" is an empty space, out of 15.

We have 8 whole numbers (divided into fifteenths):

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And six fifteenths:

######()()()()()()()()()

As you can see, the filled in space is closer to the whole number below it (8), making us round downwards, so now we only have 8 whole numbers remaining.

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