Question

problem 6
ashley picks 9 strawberries from the school garden. the strawberries fill \\(\frac{3}{4}\\) of a cup.
here is your tape diagram from the previous screen.
determine how many strawberries fill 1 cup.
use the tape diagram if it helps with your thinking.

Explanation:

Step1: Define the relationship

Let \( x \) be the number of strawberries in 1 cup. We know that 9 strawberries fill \( \frac{3}{4} \) of a cup. So we can set up a proportion: \( \frac{9}{\frac{3}{4}}=\frac{x}{1} \).

Step2: Solve the proportion

To solve for \( x \), we can use the rule that \( \frac{a}{\frac{b}{c}} = a\times\frac{c}{b} \). So \( 9\div\frac{3}{4}=9\times\frac{4}{3} \).

Step3: Calculate the result

\( 9\times\frac{4}{3}=\frac{9\times4}{3}=\frac{36}{3} = 12 \).

Answer:

12