Question

every day, ariannas orange juice stand uses 1/2 of a bag of oranges. how many days will 2 1/2 bags of oranges last? write your answer as a fraction or as a whole or mixed number. days

Explanation:

Step1: Convert mixed number to improper fraction

The total number of bags is \(2\frac{1}{2}\), which is equal to \(\frac{2\times2 + 1}{2}=\frac{5}{2}\) bags.

Step2: Divide total bags by daily usage

To find the number of days, we divide the total number of bags \(\frac{5}{2}\) by the daily usage \(\frac{1}{2}\). Using the rule of dividing fractions (\(\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}\)), we have \(\frac{5}{2}\div\frac{1}{2}=\frac{5}{2}\times\frac{2}{1}\).

Step3: Simplify the multiplication

Multiplying the numerators and denominators, we get \(\frac{5\times2}{2\times1}=\frac{10}{2} = 5\).

Answer:

5