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