# How do you convert 4/25 into a decimal and percent?

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

36
Jun 25, 2016

Decimal: $0.16$
Percent: 16%

#### Explanation:

Let's first convert it to decimal.
We have $\frac{4}{25}$
Now you can divide that by hand and you would get 0.16, but there is a faster way.
If we multiply both numerator and denominator with 4 we get:

$\frac{4}{25} \cdot \frac{4}{4} = \frac{16}{100}$

And when you have something divided by a 100, the only thing you need to do is move two places to the left and you'll get your answer.
Examples:

$\frac{55}{100} = 0.55$
$\frac{3}{100} = 0.03$
$\frac{18}{100} = 0.18$
and so on.

So in our case we used a trick of making our denominator a hundred so we could easily calculate the fraction.

$\frac{16}{100} = 0.16$

And now let's convert to percentages.

To convert a number to percents, all you need to do is multiply it with 100%.
Examples:

$0.55$ in percent is 55%
$\frac{1}{2}$ in percent is 50%
$5$ in percent is 500%

So in our case

16/100 * 100% = 16%

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

8
Tony B Share
May 7, 2017

A sort of cheat way of doing the calculation (teaching about numbers)

Percentage->16%
Decimal $\text{ } \to 0.16$

#### Explanation:

$\textcolor{b l u e}{\text{Preamble}}$

The symbol % is a bit like units of measurement but one that is worth $\frac{1}{100}$

Using an example to demonstrate:

30%" "->" "30xx%" "->" "30xx1/100" "->" "30/100

So 30% and $\frac{30}{100}$ are the same thing!

Another thing: did you know that you can, if you so chose, write whole numbers like a fraction.

$\text{For example 16 is the same as } \frac{16}{1}$

$\text{ 26 is the same as } \frac{26}{1}$

$\text{ 2 is the same as } \frac{2}{1}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Answering the percent part of the question}}$

Not very strait forward to divide 25 into 4 so lets make it a bit easier.

Note that the denominator (bottom number) is 25. This will divide into 100 and give a whole number answer.

So let us make the 4 look different without changing the 'overall' value

color(green)(4 ->[ 4color(red)(xx1)] ->[4color(red)(xx100/100)] ->[400xx1/100]

So $\text{ "4/25" "=" } \frac{400}{25} \times \frac{1}{100}$

$\textcolor{g r e e n}{\frac{400}{25} \times \frac{1}{100} \text{ "=" } \frac{400 \textcolor{red}{\div 25}}{25 \textcolor{red}{\div 25}} \times \frac{1}{100}}$

$\text{ "=" "16/1" "xx1/100" "=" } \frac{16 \times 1}{1 \times 100}$

$\text{ " =" } \frac{16}{100}$

But as talked about in the preamble $\frac{1}{100}$ is the same as % so we have:

16/100=16xx 1/100=16%

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{The decimal part of the question}}$

$\textcolor{b r o w n}{\text{The teaching bit}}$

A decimal construct is such that we have:

units + tenths + hundredths + .....

Using an example: suppose we had the number 23.26

Units $\to 26 \text{ "larr" Units is counting in 1's}$

Tenths $\to \frac{2}{10}$

Hundredths$\to \frac{6}{100}$

$\frac{26}{1} + \frac{2}{10} + \frac{6}{100} \text{ "->" } 26.26$
....................................................................................
$\textcolor{b r o w n}{\text{Back to our question}}$

We have 16%->16/100

So we have: $\frac{0}{1} + \frac{1}{10} + \frac{6}{100} \text{ "->" } 0.16$

• 5 minutes ago
• 6 minutes ago
• 8 minutes ago
• 9 minutes ago
• 2 minutes ago
• 2 minutes ago
• 3 minutes ago
• 3 minutes ago
• 4 minutes ago
• 5 minutes ago
• 5 minutes ago
• 6 minutes ago
• 8 minutes ago
• 9 minutes ago