#8 1/4%# of #800# is what number?

1 Answer
Aug 7, 2016

Answer:

#66#

Explanation:

There are two ways of writing percentage.
Using the given value of #8 1/4%#

When written in a sentence you generally se it as #8 1/4%#
but when calculating you see it as #(8 1/4)/100#
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I know it is not normally spoken this way but for a moment think about the term: 2 of 6. This is saying #2xx6#

So #8 1/4%# of 800 is: #(8 1/4)/100xx800#

But 800 is the same as #8xx100# giving

#(8 1/4)/(cancel(100))xx cancel(100)xx8#

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It is known that:
#1/4# of 8 is 2

and that #8xx8=64#
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Think of #8 1/4" as "8+1/4#

So #(8+1/4)xx8 = 64+2=66#