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

Aug 7, 2016

$66$

#### 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 $\frac{8 \frac{1}{4}}{100}$
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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 $2 \times 6$

So 8 1/4% of 800 is: $\frac{8 \frac{1}{4}}{100} \times 800$

But 800 is the same as $8 \times 100$ giving

$\frac{8 \frac{1}{4}}{\cancel{100}} \times \cancel{100} \times 8$

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It is known that:
$\frac{1}{4}$ of 8 is 2

and that $8 \times 8 = 64$
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Think of $8 \frac{1}{4} \text{ as } 8 + \frac{1}{4}$

So $\left(8 + \frac{1}{4}\right) \times 8 = 64 + 2 = 66$