# How do you convert 95/1000 into a percent and decimal?

Jun 28, 2016

Percent: 9.5%
Decimal: $0.095$

#### Explanation:

To convert $\frac{95}{1000}$ into a percent, we need to make the denominator equal to $100$.

We can do this by dividing both sides by $10$. We get $\frac{9.5}{100}$, which is equivelant to 9.5%.

To make this a decimal, we can move the decimal point left two times:

$9.5$ turns into $0.095$

Jun 28, 2016

$\frac{95}{1000} = 0.095$

95/100=9.5%

#### Explanation:

$\textcolor{b l u e}{\text{Fraction to decimal}}$

$0.1 \to \frac{1}{10}$
$0.01 \to \textcolor{red}{\frac{1}{100} \text{ "larr" percent}}$
$0.001 \to \textcolor{b l u e}{\frac{1}{1000} \text{ "larr" 95 of these as a decimal}}$
$\text{ } \uparrow$
$\text{ }$3rd zero---------------3 rd decimal place----------
$\text{ } \downarrow$
But we have 95 of them so this is 95 of $0.001 \textcolor{b l u e}{\to 0.095}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Fraction to percentage}}$

Percent basically means 'for each 100'

We are given$\frac{95}{1000}$ so if we can change the 1000 into 100 and apply the same process to the 95 we have our answer.

To change $1000$ into $100$ divide by 10

For multiply or divide, what you so to the bottom of a fraction ( denominator) you also do to the top (numerator)

$\frac{95 \div 10}{1000 \div 10} = \textcolor{red}{\frac{9.5}{100}}$

Another way of writing this is color(red)(9.5%)