Question

unit fraction word problems

1. at a restaurant, 6 people were at a table when the waiter brought out 1/3 of a bowl of cheese dip. if they split the bowl evenly, how much would each person get?

Explanation:

Step1: Identify the problem type

We need to divide a fraction (\(\frac{1}{3}\) of a bowl) among 6 people, so we use division of fractions. The formula for dividing a quantity \(Q\) among \(n\) people is \(Q\div n\), which is equivalent to \(Q\times\frac{1}{n}\).

Step2: Set up the calculation

Here, \(Q = \frac{1}{3}\) and \(n = 6\). So we calculate \(\frac{1}{3}\div6\) or \(\frac{1}{3}\times\frac{1}{6}\).

Step3: Perform the multiplication

Multiplying the numerators and denominators: \(\frac{1\times1}{3\times6}=\frac{1}{18}\).

Answer:

Each person would get \(\frac{1}{18}\) of a bowl of cheese dip.