To simplify one by one, step by step, proving that they are the same:
[tex] \frac{10}{20} \frac{\div2}{\div2} = \frac{5}{10} \frac{\div5}{\div5} = \boxed{\frac{1}{2} }[/tex] [tex]\end{array}}\qquad\quad\checkmark[/tex]
[tex] \frac{30}{60} \frac{\div2}{\div2} = \frac{15}{30} \frac{\div5}{\div5} = \frac{3}{6} \frac{\div3}{\div3} = \boxed{\frac{1}{2} }[/tex] [tex]\end{array}}\qquad\quad\checkmark[/tex]