Question

every day, the shah family restaurant serves 1 2/3 bottles of soda to their customers. how many days will 6 2/3 bottles of soda last? write your answer as a fraction or as a whole or mixed number. □ days submit

Explanation:

Step1: Convert mixed numbers to improper fractions

The daily consumption is \(1\frac{2}{3}\) bottles. To convert this to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}\) bottles per day.

The total amount of soda is \(6\frac{2}{3}\) bottles. Converting this to an improper fraction: \(6\frac{2}{3}=\frac{6\times3+2}{3}=\frac{20}{3}\) bottles.

Step2: Divide total soda by daily consumption

To find the number of days, we divide the total amount of soda by the daily consumption. So, we calculate \(\frac{20}{3}\div\frac{5}{3}\). When dividing fractions, we multiply by the reciprocal of the divisor: \(\frac{20}{3}\times\frac{3}{5}\).

The 3s in the numerator and denominator cancel out, leaving \(\frac{20}{5}\).

Step3: Simplify the result

\(\frac{20}{5} = 4\).

Answer:

4