# What is 3/50 as a percent?

Jan 27, 2017

6%

#### Explanation:

3/50 xx 100%

=(0.06 xx 100)%

=6 %

Sep 23, 2017

$\frac{3}{50}$ as a percent is 6% and see below for the explanation (it's kinda different from Barney V.'s, though).

#### Explanation:

Percent means "out of hundred". For example, if we have 6%, it can also mean $\frac{6}{100}$.
Therefore, if we want to convert $\frac{3}{50}$ to a percent, we need to change the denominator to a 100 by multiplying the denominator by 2.
But wait! Remember? Whatever you do to the bottom, has to be done to the top. So we need to multiply 3 by 2, too.
Lets just start now! Shall we?

$3 \times 2 = 6$ and $50 \times 2 = 100$

So,

$\frac{3}{50} = \frac{6}{100}$

We have our 100 now! And $\frac{6}{100}$ as a percent is, 6%!

My source is my mind!
I hope that helps you!

Sep 27, 2017

6%

#### Explanation:

$\textcolor{b l u e}{\text{The teaching bit}}$

Just as $\frac{3}{50}$ is a fraction so is percentage. The difference being that the bottom number (denominator) is ALWAYS fixed at 100.

So there are two ways of writing percentage. I will demonstrate with an example. Suppose we had $x$ percent. This may be written as:
x% or as $\frac{x}{100}$. They are the same thing.

This is one way of making the link between the two.

Consider them as: x xx%->x xx 1/100

So the % bit is the same as $\frac{1}{100}$. In other words you may consider % as a unit of measurement that is worth $\frac{1}{100}$
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$\textcolor{b l u e}{\text{Answering your question - using first principles}}$

$\textcolor{b r o w n}{\text{I have shown every step so that you can see the logic}}$
$\textcolor{b r o w n}{\text{If you use the shortcut methods it is much faster}}$

Given: $\frac{3}{50}$

Multiply by 1 and you do not change the 'inherent ' value. However, 1 comes in many forms. So we can and may change the way some numbers look without changing their true value.

$\textcolor{g r e e n}{\frac{3}{50} \textcolor{w h i t e}{\text{d")=color(white)("d}} \frac{3}{50} \textcolor{red}{\times 1}}$

$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{dddd")=color(white)("d}} \frac{3}{50} \textcolor{red}{\times \frac{2}{2}}}$

color(green)(color(white)("dddd")=color(white)("d")(color(white)(3)3color(red)(color(white)("d")xx2))/(50color(red)(color(white)("d")xx2)))

$\textcolor{w h i t e}{\text{dddd")=color(white)("d}} \frac{6}{100}$

$\textcolor{w h i t e}{\text{dddd")=color(white)("d}} 6 \times \frac{1}{100}$

color(white)("dddd")=color(white)("d")6xx%

color(white)("dddd")=color(white)("d")6%