Question

problem 5
ashley picks 9 strawberries from the school garden. the strawberries fill \\(\frac{3}{4}\\) of a cup.
label the tape diagram to represent ashley’s situation.

Explanation:

Step1: Analyze the fraction

The fraction is $\frac{3}{4}$, so the tape diagram is divided into 4 equal parts, and 3 parts represent the 9 strawberries.

Step2: Find value per part

Let the number of strawberries per part be $x$. Then $3x = 9$, so $x=\frac{9}{3}=3$.

Step3: Label the diagram

• The top box (representing the total or the $\frac{3}{4}$ part) should be labeled with 9 (strawberries) or $\frac{3}{4}$ cup.
• Each of the three shaded (or the 3 parts) small boxes should be labeled with 3 (since $9\div3 = 3$ strawberries per part of the $\frac{3}{4}$). The fourth (unshaded) part would represent $\frac{1}{4}$ of a cup, which would have 3 strawberries if we consider the whole cup, but in this case, we focus on the $\frac{3}{4}$ part with 9 strawberries.

Answer:

• Top box: 9 (strawberries) or $\frac{3}{4}$ cup
• Each of the three small boxes (in the $\frac{3}{4}$ section): 3 (strawberries)