Question

dhruv has 4 cups of cereal. he eats \\(\frac{2}{3}\\) cup every day. he wants to know how many days he can eat cereal before he buys more.

which expression represents this situation?
\\(4 \div \frac{2}{3}\\)

which model shows the amount of cereal dhruv eats every day?
two images of number lines with shaded regions

Explanation:

Step1: Identify total and daily amount

Total cereal: $4$ cups, daily consumption: $\frac{2}{3}$ cup. To find days, divide total by daily amount.

Step2: Match the expression

The correct expression is $4 \div \frac{2}{3}$.

Step3: Analyze the fraction model

$\frac{2}{3}$ means 2 parts out of 3 equal parts of 1 whole. The first model shows 1 whole divided into 3 parts with 2 shaded, which represents $\frac{2}{3}$.

Answer:

1. The expression representing the situation is $4 \div \frac{2}{3}$
2. The model on the left (showing 1 whole split into 3 parts with 2 shaded) represents the amount of cereal Dhruv eats every day.