To solve the problem, we need to determine the mixed number and improper fraction for each shaded area in the given images. Let's go through each row step by step.
Row 1: Circles
-
Image: There are 3 full circles and 1 half circle.
-
Mixed Number: Since there are 3 full circles and 1 half circle, the mixed number is \(3 \frac{1}{2}\).
-
Improper Fraction: To convert \(3 \frac{1}{2}\) to an improper fraction:
\[
3 \frac{1}{2} = \frac{(3 \times 2) + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
\]
Row 2: Squares
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Image: There are 2 full squares and 3 out of 4 parts of another square.
-
Mixed Number: The mixed number is \(2 \frac{3}{4}\).
-
Improper Fraction: To convert \(2 \frac{3}{4}\) to an improper fraction:
\[
2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
\]
Row 3: Stars
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Image: There are 2 full stars and 3 out of 5 parts of another star.
-
Mixed Number: The mixed number is \(2 \frac{3}{5}\).
-
Improper Fraction: To convert \(2 \frac{3}{5}\) to an improper fraction:
\[
2 \frac{3}{5} = \frac{(2 \times 5) + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}
\]
Row 4: Hexagons
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Image: There are 2 full hexagons and 1 out of 3 parts of another hexagon.
-
Mixed Number: The mixed number is \(2 \frac{1}{3}\).
-
Improper Fraction: To convert \(2 \frac{1}{3}\) to an improper fraction:
\[
2 \frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3}
\]
Row 5: Triangles
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Image: There are 3 full triangles and 2 out of 3 parts of another triangle.
-
Mixed Number: The mixed number is \(3 \frac{2}{3}\).
-
Improper Fraction: To convert \(3 \frac{2}{3}\) to an improper fraction:
\[
3 \frac{2}{3} = \frac{(3 \times 3) + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}
\]
Row 6: Rectangles
-
Image: There are 2 full rectangles and 3 out of 4 parts of another rectangle.
-
Mixed Number: The mixed number is \(2 \frac{3}{4}\).
-
Improper Fraction: To convert \(2 \frac{3}{4}\) to an improper fraction:
\[
2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
\]
Row 7: Arrows
-
Image: There are 2 full arrows and 1 out of 2 parts of another arrow.
-
Mixed Number: The mixed number is \(2 \frac{1}{2}\).
-
Improper Fraction: To convert \(2 \frac{1}{2}\) to an improper fraction:
\[
2 \frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2}
\]
Final Answer
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Mixed Number} & \text{Improper Fraction} \\
\hline
3 \frac{1}{2} & \frac{7}{2} \\
\hline
2 \frac{3}{4} & \frac{11}{4} \\
\hline
2 \frac{3}{5} & \frac{13}{5} \\
\hline
2 \frac{1}{3} & \frac{7}{3} \\
\hline
3 \frac{2}{3} & \frac{11}{3} \\
\hline
2 \frac{3}{4} & \frac{11}{4} \\
\hline
2 \frac{1}{2} & \frac{5}{2} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of super worksheet fractions.
