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
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
Solution
Solution Steps
Step 1: Analyze the Models
The problem involves comparing two rectangles, A and B, to determine if 21 is equivalent to 84. Rectangle A represents 21, and Rectangle B represents 84.
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 21, 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 84. Therefore, the number of shaded parts in Rectangle B is 4.
Final Answer
The number of equal parts in rectangle B is 8.
The number of equal parts in rectangle B is 4 times the number of equal parts in rectangle A.
The number of shaded parts in rectangle B is 4.