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.

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.

jdoe0001 · Answer

what's a ratio?

anonymous · Answer

10/20 can be changed to have a 60 on the bottom: 10*3 = 30 and 20*3 = 60. 30/60 =30/60. So they do form a proportion.
b. 10/20 in its simplest form: what factor do 10 and 20 have in common? How about 10? So 10/10 = 1 and 20/10 = 2. So the final fraction is 1/2. 
30/60 also needs to equal 1/2. So what do 30 and 60 have in common? 30! So 30/30 = 1 and 60/30 = 2. 1/2 is the final fraction too! 
10/20 = 1/2 and 30/60 = 1/2!

anonymous · Answer

@Samantha_Rose You copied this from someone else..............