# How do you simplify the fraction 10/20?

Simplifying a fraction $\setminus \frac{p}{q}$ means to rewrite it as an equivalent function $\frac{m}{n}$ such that $\setminus \frac{p}{q} = \setminus \frac{m}{n}$, but $m$ and $n$ have no common divisors.
In your case, the fraction $\setminus \frac{10}{20}$ is not simplified, because both numbers are divided by 2 and 5.
In your case, one can write 10 as $2 \setminus \cdot 5$ and 20 as $2 \setminus \cdot 2 \setminus \cdot 5$.
Thus, the fraction $\setminus \frac{10}{20}$ can be written as $\setminus \frac{2 \setminus \cdot 5}{2 \setminus \cdot 2 \setminus \cdot 5}$. We can simplify one 2 and one 5 from both numerator and denominator, and so we conclude that $\setminus \frac{10}{20}$ is simplified into $\setminus \frac{1}{2}$.