Questions: Equivalent Fractions Concepts How can these models be used to explain whether or not 1/2 is equivalent to 4/8? Select from the drop-down menus to correctly complete each statement. The number of equal parts in rectangle B is □ Rectangle B □ times the number of equal parts in rectangle A. The number of shaded parts in rectangle B is □ 4 times the number of shaded parts in

Equivalent Fractions Concepts
How can these models be used to explain whether or not 1/2 is equivalent to 4/8?

Select from the drop-down menus to correctly complete each statement.

The number of equal parts in rectangle B is
□

Rectangle B

□ times the number of equal parts in rectangle A.

The number of shaded parts in rectangle B is
□
4 times the number of shaded parts in
Transcript text: Equivalent Fractions Concepts How can these models be used to explain whether or not $\frac{1}{2}$ is equivalent to $\frac{4}{8}$ ? Select from the drop-down menus to correctly complete each statement. The number of equal parts in rectangle $B$ is $\square$ Rectangle B \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & & & & & & & \\ \hline \end{tabular} $\square$ times the number of equal parts in rectangle A . The number of shaded parts in rectangle $B$ is $\square$ 4 times the number of shaded parts in
failed

Solution

failed
failed

Solution Steps

Step 1: Analyze the Models

The problem involves comparing two rectangles, A and B, to determine if \(\frac{1}{2}\) is equivalent to \(\frac{4}{8}\). Rectangle A represents \(\frac{1}{2}\), and Rectangle B represents \(\frac{4}{8}\).

Step 2: Count the Equal Parts in Rectangle B

Rectangle B is divided into 8 equal parts, as shown by the 8 cells in the table. Therefore, the number of equal parts in Rectangle B is 8.

Step 3: Compare the Number of Equal Parts

Rectangle A represents \(\frac{1}{2}\), which means it is divided into 2 equal parts. Since Rectangle B has 8 equal parts, the number of equal parts in Rectangle B is 4 times the number of equal parts in Rectangle A.

Step 4: Count the Shaded Parts in Rectangle B

Rectangle B has 4 shaded parts, as indicated by the fraction \(\frac{4}{8}\). Therefore, the number of shaded parts in Rectangle B is 4.

Final Answer

The number of equal parts in rectangle B is \( \boxed{8} \).
The number of equal parts in rectangle B is \( \boxed{4} \) times the number of equal parts in rectangle A.
The number of shaded parts in rectangle B is \( \boxed{4} \).

Was this solution helpful?
failed
Unhelpful
failed
Helpful