Question

7 what is a division word problem that can be represented by \\(\frac{4}{3}\\)?

Explanation:

Step1: Understand the fraction as division

The fraction $\frac{4}{3}$ can be thought of as dividing 4 into 3 equal parts, or dividing a quantity by $\frac{3}{4}$ (since dividing by a fraction is multiplying by its reciprocal, but for the word problem, we can frame it as sharing a total among a number of groups or vice versa). Let's create a scenario where we divide a total amount by a part - per - group or divide a group into parts.

Step2: Construct the word problem

Let's consider a scenario with objects. For example: "There are 4 liters of juice to be poured into glasses, and each glass can hold $\frac{3}{4}$ liters? Wait, no, wait. Wait, $\frac{4}{3}$ can be represented as dividing 4 by 3. Let's do: "If you have 4 meters of ribbon and you want to cut it into pieces that are $\frac{3}{1}$ meters? No, that's not right. Wait, $\frac{4}{3}$ is 4 divided by 3. So let's think of sharing 4 items among 3 people. Wait, no, 4 divided by 3 is $\frac{4}{3}$. So here's a word problem: "A baker has 4 pounds of flour. He wants to divide it equally among 3 batches of cookies. How many pounds of flour will be in each batch?" In this case, to find the amount per batch, we divide the total flour (4 pounds) by the number of batches (3), so the calculation is $4\div3=\frac{4}{3}$.

Answer:

A word problem: "A baker has 4 pounds of flour. He wants to divide it equally among 3 batches of cookies. How many pounds of flour will be in each batch?" (This problem represents the division $4\div3=\frac{4}{3}$)