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?
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 รท 5/4 = 1/2 x 4/5 = 4/10 = 2/5
Therefore, the unit rate of vinegar per cup of water is 2/5.