# Percents And Fractions (Introduction To Percents)

Summary: What does percent mean? Learn what 30% means and how to represent it as a fraction.

## Video-Lesson Transcript

In this video, you will learn what percent means and how to represent it as a fraction.

For example, $10\% = \dfrac{10}{100}$

Likewise $40\% = \dfrac{40}{100}$

And $50\% = \dfrac{50}{100}$

The colored boxes represents the Percentage.

### Simplifying the Fraction

At this point, you should probably know how to simplify fractions.

So, let’s do it.

$\dfrac{10}{100} = \dfrac{1}{10}$ $\dfrac{40}{100} = \dfrac{4}{10}$ $\dfrac{50}{100} = \dfrac{5}{10}$

Then we can re-draw the 100 squares into 10 rectangles.

We can reduce this further, though.

$\dfrac{40}{10} = \dfrac{2}{5}$ $\dfrac{5}{10} = \dfrac{1}{2}$

So there! We already discussed how to convert percent into fraction.

### Review Converting a Fraction to a Decimal and Reducing

Just to review, to convert the percent into a fraction, we have to take the amount in percentage as the numerator and the denominator is always 100. Then reduce it as much as possible.

So if we have $25 \%$ we could convert it into $= \dfrac{25}{100}$

Then reduce it and we’ll have $\dfrac{1}{4}$

If we have $35 \%$ we could convert it into $= \dfrac{35}{100}$

And further reduce it into $\dfrac{7}{20}$

$80 \%$ could be converted into $= \dfrac{80}{100}$

Then reduce it further to $\dfrac{4}{5}$