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Fractions of shapes worksheets | Worsheets library - Free Printable

Fractions of shapes worksheets | Worsheets library

Educational worksheet: Fractions of shapes worksheets | Worsheets library. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Fractions of shapes worksheets | Worsheets library
The task in the image is to identify fractions based on the shaded portions of the circles. Each circle is divided into equal parts, and some parts are shaded. The goal is to determine the fraction that represents the shaded portion of each circle.

Steps to Solve:


1. Identify the Total Number of Parts: Count how many equal parts the circle is divided into.
2. Count the Shaded Parts: Determine how many of those parts are shaded.
3. Write the Fraction: The fraction is written as:
\[
\text{Fraction} = \frac{\text{Number of Shaded Parts}}{\text{Total Number of Parts}}
\]

Solution for Each Circle:



#### Row 1:
- Circle 1: Divided into 8 parts, 3 are shaded.
\[
\frac{3}{8}
\]
- Circle 2: Divided into 4 parts, 1 is shaded.
\[
\frac{1}{4}
\]

#### Row 2:
- Circle 1: Divided into 3 parts, 1 is shaded.
\[
\frac{1}{3}
\]
- Circle 2: Divided into 6 parts, 5 are shaded.
\[
\frac{5}{6}
\]

#### Row 3:
- Circle 1: Divided into 10 parts, 7 are shaded.
\[
\frac{7}{10}
\]
- Circle 2: Divided into 2 parts, 1 is shaded.
\[
\frac{1}{2}
\]

#### Row 4:
- Circle 1: Divided into 8 parts, 5 are shaded.
\[
\frac{5}{8}
\]
- Circle 2: Divided into 4 parts, 3 are shaded.
\[
\frac{3}{4}
\]

#### Row 5:
- Circle 1: Divided into 4 parts, 1 is shaded.
\[
\frac{1}{4}
\]
- Circle 2: Whole circle (no division), so it is considered as 1 whole.
\[
\frac{1}{1} \quad \text{or simply } 1
\]

#### Row 6:
- Circle 1: Divided into 6 parts, 2 are shaded.
\[
\frac{2}{6} \quad \text{(which can be simplified to } \frac{1}{3}\text{)}
\]
- Circle 2: Divided into 3 parts, 1 is shaded.
\[
\frac{1}{3}
\]

Final Answer:


\[
\boxed{
\begin{array}{cc}
\frac{3}{8} & \frac{1}{4} \\
\frac{1}{3} & \frac{5}{6} \\
\frac{7}{10} & \frac{1}{2} \\
\frac{5}{8} & \frac{3}{4} \\
\frac{1}{4} & 1 \\
\frac{1}{3} & \frac{1}{3}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of free fraction worksheets.
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