Question

a. Determine whether the ratios 10/20 and 30/60 can form a proportion by finding a common multiplier. b. Show that the ratios in part (a) are equal by writing them in simplest form. Please explain how you got the answers to these questions.

Answer 1

To simplify one by one, step by step, proving that they are the same:

$\frac{10}{20} \frac{\div2}{\div2} = \frac{5}{10} \frac{\div5}{\div5} = \boxed{\frac{1}{2} }$ $\end{array}}\qquad\quad\checkmark$
$\frac{30}{60} \frac{\div2}{\div2} = \frac{15}{30} \frac{\div5}{\div5} = \frac{3}{6} \frac{\div3}{\div3} = \boxed{\frac{1}{2} }$ $\end{array}}\qquad\quad\checkmark$