Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Are the ratios 84105and 128160
proportional? Give two different reasons to support your answer
To determine if the ratios 84:105 and 128:160 are proportional, we can simplify both ratios to check if they are equal.
First ratio: 84:105
Divide both numbers by their greatest common divisor, which is 21.
84 ÷ 21 = 4
105 ÷ 21 = 5
Therefore, the simplified ratio is 4:5.
Second ratio: 128:160
Again, divide both numbers by their greatest common divisor, which is 32.
128 ÷ 32 = 4
160 ÷ 32 = 5
Therefore, the simplified ratio is 4:5.
Since both ratios simplify to the same ratio of 4:5, we can conclude that the ratios 84:105 and 128:160 are proportional.