Skill: Simplify fractions

A fraction is simplified when its numerator and denominator have no common factor greater than $1$. To simplify, divide the numerator and denominator by the same common factor.

Example: Simplify $\frac{18}{24}$.

1. Find a number that divides both $18$ and $24$.
   Both are divisible by $6$.

2. Divide the numerator and denominator by $6$:

$$\frac{18}{24}=\frac{18\div 6}{24\div 6}=\frac{3}{4}$$

3. Check whether $\frac{3}{4}$ can be simplified more.
   The only factors of $3$ are $1$ and $3$, and $4$ is not divisible by $3$. So they have no common factor greater than $1$.

Therefore,

$$\boxed{\frac{18}{24}=\frac{3}{4}}$$

The value stays the same because the numerator and denominator were divided by the same number.