Question

match the fraction
write the fraction that shows the shaded part. draw lines
to a letter that has an equivalent fraction listed. then draw
an example of a shape that is shaded to show the equivalent
fraction.
1.
a.
4
1/2
2.
4/8

Explanation:

For Problem 1:

Step 1: Analyze the shaded fraction

The square is divided into 2 equal parts, and 1 part is shaded, so the fraction is $\frac{1}{2}$.

Step 2: Find equivalent fraction

Simplify or find a fraction equal to $\frac{1}{2}$. We know that $\frac{2}{4}=\frac{1\times2}{2\times2}=\frac{1}{2}$, so $\frac{1}{2}$ is equivalent to $\frac{2}{4}$ (Option A).

Step 3: Draw equivalent shape

Draw a square divided into 4 equal parts (e.g., 2 vertical and 2 horizontal lines) and shade 2 of those parts.

For Problem 2:

Step 1: Analyze the shaded fraction

The circle is divided into 8 equal parts, and 4 parts are shaded, so the fraction is $\frac{4}{8}$.

Step 2: Simplify the fraction

Simplify $\frac{4}{8}$ by dividing numerator and denominator by 4: $\frac{4\div4}{8\div4}=\frac{1}{2}$. Also, $\frac{4}{8}=\frac{2}{4}$ (since $\frac{4\div2}{8\div2}=\frac{2}{4}$). So it is equivalent to $\frac{1}{2}$ (and also $\frac{2}{4}$ like in Problem 1).

Step 3: Draw equivalent shape

Draw a circle divided into 2 equal parts and shade 1 part (or a square divided into 4 parts and shade 2, etc.).

Answer:

1. Shaded fraction: $\frac{1}{2}$, Equivalent to Option A ($\frac{2}{4}$), Drawn shape: Square with 4 parts, 2 shaded.
2. Shaded fraction: $\frac{4}{8}$, Equivalent to $\frac{1}{2}$ (and $\frac{2}{4}$), Drawn shape: Circle with 2 parts, 1 shaded (or square with 4 parts, 2 shaded).