Question

What is 0.3% as a fraction?

Answer 1

$\frac{3}{1000}$

Explanation:

A perecentage is actually just part out of 100. So for example, 10% is the same as 10 out of a 100 or $\frac{10}{100}$ which simplifies to $\frac{1}{10}$.

In this case we see 0.3% which is like saying $\frac{0.3}{100}$. Of course, we do not want decimals in the numerator (the same way we wouldn't want a fraction in the numerator of a fraction). So to fix this we could multiply by $\frac{10}{10}$ (which is to say 1) to make 0.3 into a whole number.

$\frac{0.3}{100}\cdot \frac{10}{10}=\frac{3}{1000}$ and cannot be simplified.