What is 60 divided by 15%?

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What is 60 divided by 15%?

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Answer 1 · 2016-11-14T16:08:47

400

Explanation:

The % in 15% is a unit of measurement and is worth $\frac{1}{100}$ $1/100$

So another way of writing 15% is $\frac{15}{100}$ $15/100$

What is 60 divided by 15% $\to 60 \div 15 % \to 60 \div \frac{15}{100}$ $-> 60 -:15% -> 60 -:15/100$

Using the shortcut method, turn $\frac{15}{100}$ $15/100$ upside down and multiply.

$60 \div \frac{15}{100} = 60 \times \frac{100}{15} = \frac{60}{15} \times 100$ $60-:15/100" " =" " 60xx100/15" "=" "60/15xx100$

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I can move the 15 to be 'under' the 60 from under the 100 for the same reason that $2 \times 4 is the same as 4 \times 2$ $2xx4" is the same as "4xx2$
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But 5 will divide exactly into both 15 and 60 so we have:

$\frac{60}{5} \times 100 = \frac{60 \div 5}{15 \div 5} \times 100$ $60/5xx100" "=" "(60-:5)/(15-:5)xx100$

$= \frac{12}{3} \times 100$ $=12/3xx100" "$ but 3 will divide exactly into both 3 and 12

$= \frac{12 \div 3}{3 \div 3} \times 100$ $=(12-:3)/(3-:3)xx100$

$= \frac{4}{1} \times 100 = 400$ $=4/1xx100 = 400$

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What is 60 divided by 15%?

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