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:


`(10)/(20) (/2)/(/2) = (5)/(10) (/5)/(/5) = \boxed{(1)/(2) }`
`\end{array}}\qquad\quad\checkmark`

`(30)/(60) (/2)/(/2) = (15)/(30) (/5)/(/5) = (3)/(6) (/3)/(/3) = \boxed{(1)/(2) }`
`\end{array}}\qquad\quad\checkmark`