A homemade cleaning solution uses a ratio of 1/2 cup white vinegar to 1 1/4 cup of water. What is the unit rate of vinegar per cup of water?

Answer 1

To find the unit rate of vinegar per cup of water, we can simplify the ratio by dividing both the numerator and denominator by the same number.

1/2 divided by 1 1/4 can be simplified by converting 1 1/4 into an improper fraction first.
1 1/4 = 5/4

So, the simplified ratio is 1/2 ÷ 5/4 = 1/2 x 4/5 = 4/10 = 2/5

Therefore, the unit rate of vinegar per cup of water is 2/5.