Ordering Fractions - Math Worksheets - SplashLearn - Free Printable

This is a "Beginner Fractions Speed Drill" worksheet. The task is to identify the fraction represented by the shaded portion of each shape and write it in the box below.

A fraction is written as $\frac{\text{number of shaded parts}}{\text{total number of equal parts}}$.

I will solve this problem by examining each shape row by row and calculating its corresponding fraction.

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First Row (Pentagons and Octagons)

- Shape 1: A pentagon divided into 5 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{5}$

- Shape 2: An octagon divided into 8 equal parts, with 5 parts shaded.
- Fraction: $\frac{5}{8}$

- Shape 3: An octagon divided into 8 equal parts, with 1 part shaded.
- Fraction: $\frac{1}{8}$

- Shape 4: An octagon divided into 8 equal parts, with 2 parts shaded.
- Fraction: $\frac{2}{8}$, which can be simplified to $\frac{1}{4}$.

- Shape 5: A pentagon divided into 5 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{5}$

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Second Row (Circles)

- Shape 1: A circle divided into 8 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{8}$

- Shape 2: A circle divided into 2 equal parts, with 1 part shaded.
- Fraction: $\frac{1}{2}$

- Shape 3: A circle divided into 4 equal parts, with 1 part shaded.
- Fraction: $\frac{1}{4}$

- Shape 4: A circle divided into 3 equal parts, with 2 parts shaded.
- Fraction: $\frac{2}{3}$

- Shape 5: A circle divided into 8 equal parts, with 6 parts shaded.
- Fraction: $\frac{6}{8}$, which can be simplified to $\frac{3}{4}$.

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Third Row (Stars)

- Shape 1: A star divided into 5 equal parts, with 1 part shaded.
- Fraction: $\frac{1}{5}$

- Shape 2: A star divided into 6 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{6}$, which can be simplified to $\frac{1}{2}$.

- Shape 3: A star divided into 5 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{5}$

- Shape 4: A star divided into 6 equal parts, with 6 parts shaded.
- Fraction: $\frac{6}{6}$, which simplifies to $1$.

- Shape 5: A star divided into 5 equal parts, with 2 parts shaded.
- Fraction: $\frac{2}{5}$

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Fourth Row (Rectangles)

- Shape 1: A rectangle divided into 10 equal parts (2 rows x 5 columns), with 3 parts shaded.
- Fraction: $\frac{3}{10}$

- Shape 2: A rectangle divided into 10 equal parts, with 4 parts shaded.
- Fraction: $\frac{4}{10}$, which can be simplified to $\frac{2}{5}$.

- Shape 3: A rectangle divided into 10 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{10}$

- Shape 4: A rectangle divided into 10 equal parts, with 3 parts shaded.
- Fraction: $\frac{3}{10}$

- Shape 5: A rectangle divided into 10 equal parts, with 6 parts shaded.
- Fraction: $\frac{6}{10}$, which can be simplified to $\frac{3}{5}$.

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Final Answer

Here are the fractions for each shape, listed row by row from left to right:

Row 1: $\frac{3}{5}, \frac{5}{8}, \frac{1}{8}, \frac{1}{4}, \frac{3}{5}$

Row 2: $\frac{3}{8}, \frac{1}{2}, \frac{1}{4}, \frac{2}{3}, \frac{3}{4}$

Row 3: $\frac{1}{5}, \frac{1}{2}, \frac{3}{5}, 1, \frac{2}{5}$

Row 4: $\frac{3}{10}, \frac{2}{5}, \frac{3}{10}, \frac{3}{10}, \frac{3}{5}$