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What is 12 divided by 0.15?

2 Answers

Jun 7, 2016

$12$ $12$ divided by $0.15$ $0.15$ is $80$ $color(green)(80)$

Explanation:

$\frac{12}{0.15}$ $12/0.15$
$XXX = \frac{1200}{15}$ $color(white)("XXX")=1200/15$

$XXX = \frac{400}{5}$ $color(white)("XXX")=400/5$

$XXX = 80$ $color(white)("XXX")=80$

Jun 7, 2016

It is 80.

Explanation:

You can simply solve this using a calculator, but we are on Socratic, so we have to do something more fun!

The only good idea I had is to write $0.15$ $0.15$ as $\frac{15}{100}$ $15/100$ .
Then you are asking how to do

$\frac{12}{\frac{15}{100}} = \frac{12 \cdot 100}{15}$ $12/(15/100)=(12*100)/15$ .

Now we can simplify the common factors writing $12 = 3 \cdot 2 \cdot 2$ $12=3*2*2$ , $100 = 2 \cdot 2 \cdot 5 \cdot 5$ $100=2*2*5*5$ and $15 = 3 \cdot 5$ $15=3*5$ .

$\frac{12 \cdot 100}{15} = \frac{3 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5}{3 \cdot 5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5$ $(12*100)/15=(3*2*2*2*2*5*5)/(3*5)=2*2*2*2*5$

and, because I am very lazy, I know only how to do multiplications for 2 and for 10, so I write it as

$2 \cdot 2 \cdot 2 \cdot 10 = 8 \cdot 10 = 80$ $2*2*2*10=8*10=80$ .

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