A, Show that the ration 10/20 and 30/60 form a proportion by finding a common multiplier.

B. Show that the ratios in part (A) are equal by writing them in the simplest form.

4 answers

A.

10 / 20 = 10 ∙ 3 / 20 ∙ 3 = 30 / 60

So 10 / 20 is equivalent ratio of 30 / 60

B.

10 / 20

Divide the numerator and denominator by 10

10 : 10 / 20 : 10 = 1 / 2

30 / 60

Divide the numerator and denominator by 30

30 : 30 / 60 : 30 = 1 / 2

Both ratio are equal to 1 / 2 in simplest form.
Clarification for answer A

The ratio 10 / 20 from a proportion by common multipler 3 to get 30 / 60
Thank you!
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