suzies smoothies has $\\frac{1}{4}$ of a gallon of pineapple juice left. thats not enough to make their…

suzies smoothies has $\\frac{1}{4}$ of a gallon of pineapple juice left. thats not enough to make their famous tropical meltdown smoothy, so they give the juice out as free samples. they pour the juice into small cups and are able to fill 5 cups. how many gallons of pineapple juice are in each cup? write your answer as a fraction or a whole number.

suzies smoothies has $\\frac{1}{4}$ of a gallon of pineapple juice left. thats not enough to make their famous tropical meltdown smoothy, so they give the juice out as free samples. they pour the juice into small cups and are able to fill 5 cups. how many gallons of pineapple juice are in each cup? write your answer as a fraction or a whole number.

Answer

Explanation:

Step1: Analyze the problem

We need to divide the total amount of pineapple juice ((\frac{1}{4}) gallon) by the number of cups (5) to find the amount in each cup.

Step2: Perform the division

When dividing a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. So (\frac{1}{4}\div5=\frac{1}{4}\times\frac{1}{5}). Using the rule for multiplying fractions (\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}), we have (\frac{1\times1}{4\times5}=\frac{1}{20}).

Answer:

(\frac{1}{20})