# Question d94f1

Mar 16, 2017

#### Answer:

Assumption: The question should read "What is 300ml as a percentage of 6.5 ltr"

4.62% to 2 decimal places

#### Explanation:

$\textcolor{p u r p \le}{\text{I have decided to show a lot of detail as conversions are a bit challenging at first}}$

I am assuming that it is 300 ml and not 0.3 ml. The two zeros after the three do not make sense if it is 0.3ml as it is not normally written that way.

We need to make the units of measurement the same to enable direct comparison. I choose to use millilitres for everything. So we need to change 6.6 litres into millilitres

Using ratio in fractional form: $\left(\text{millilitres")/("litres}\right) \to \frac{1000}{1}$

So $\frac{\text{millilitres")/("litres")->1000/1 =("millilitres}}{6.5}$

Multiply both sides by $\textcolor{red}{6.5}$

$\textcolor{g r e e n}{\frac{1000}{1} \textcolor{red}{\times 6.5} = \frac{\text{millilitres}}{\cancel{6.5}} \textcolor{red}{\times \cancel{6.5}} = 6500}$

$\textcolor{b l u e}{\text{6.5 litres = 6500 millilitres}}$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{p u r p \le}{\text{Now we can work out the percentage}}$

300 ml to 6.5 litres is the same as 300 ml to 6500 millilitres

As a fraction this is: $\frac{300}{6500} = \frac{3}{65}$

Comparing this to percentage we have

$\frac{3}{65} \equiv \frac{x}{100}$

x=100xx3/65 ~~4.62%# to 2 decimal places