# What is 9.24 divided by 1.1?

Jan 26, 2016

$8.4$

#### Explanation:

I am assuming that the decimal point is giving you a bit of doubt.

Let me show you something really cool:

I am choosing this approach to demonstrate something else at the same time.

Write $\textcolor{w h i t e}{.} 9.24 \div 1.1 \textcolor{w h i t e}{. .}$ as $\frac{9.24}{1.1}$

Now I am going to use the law of ratios

$\frac{9.24}{1.1} = \frac{9.24 \times 100}{1.1 \times 100}$

$\frac{924}{110}$ This division will give the same answer!
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$\textcolor{b l u e}{\text{Investigating how many times 110 will divide into 990}}$

$9 \times 110 = 990$ Which is more than 924 so do not wish to use that
$\textcolor{red}{8} \times 110 = \textcolor{p u r p \le}{880}$ Which is less than 924 so we can use that value.
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$\frac{924}{110} = \textcolor{red}{8} + \text{Remainder}$

$8 + \frac{924 - \textcolor{p u r p \le}{880}}{110}$

$8 + \frac{44}{110}$

But $\frac{44}{110} = \frac{2}{5}$

So in fraction form the answer is $8 \frac{2}{5}$

But $\frac{2}{5} = \frac{4}{10} = 0.4$

So in decimal form the answer is $8.4$