Question

Convert the percentage: 0.3% into fraction.

Answer 1

Hint:
A percentage can be converted to fraction just by simply dividing it by 100 and then simplifying. For example: 25% can be converted into fraction as $\dfrac{{25}}{{100}} = \dfrac{1}{4}$.

Complete step by step solution:
A percentage in itself is just a fraction which gives us an idea about how many parts per 100 units of a given thing does something contain or contribute.
For example: If we say a boy gets 25% of a pizza slice from a whole pizza, then it means he got $\dfrac{{25}}{{100}} = \dfrac{1}{4}$ that is 25 pieces per 100 pieces or 1 out of the 4 equal slices of the pizza.
So, here in the given question the percentage is given to be: 0.3%
So, it can be converted to fraction as:
0.3% = $\dfrac{{0.3}}{{100}}$
Multiplying both numerator and denominator by 10, we get:
$
   = \dfrac{{0.3 \times 10}}{{100 \times 10}} \\
   = \dfrac{3}{{1000}} \\
 $

So, 0.3% can be written in fractional form as $\dfrac{3}{{1000}}$.

Note:
The value of a fraction is always less than equal to 1, it shows us the contribution of an object in a whole, i.e. parts of it per 1 unit. While the percentage is always less than equal to 100, it shows parts of any object per 100 units.