Visual: Converting Mixed Numbers & Improper Fractions

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focused on visual problem solving and reasoning skills for converting mixed numbers to improper fractions and vice versa. Designed for Grade 8 students to develop procedural mastery and real-world understanding.

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Full preview • 11 questions

Visual: Converting Mixed Numbers & Improper Fractions

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Use the grid to show your working and visual representations where appropriate.
1.
Using the grid, shade in the area that represents the mixed number 2 1/4. Then, write this as an improper fraction.
[2 marks]
2.
Construct a visual model to represent the improper fraction 11/3. Then, convert it to a mixed number.
[3 marks]
3.
On the grid, draw three equal-sized rectangles to represent 3/4 each. Shade the total shaded area. Write the total as a mixed number.
[3 marks]
4.
Visualize and shade a model that shows 1 2/3. Then, write it as an improper fraction.
[2 marks]
5.
Identify and correct the mistake in this visual conversion: A student shaded 7/4 as 1 3/4, but labeled it as 1 2/4. Explain your correction.
[3 marks]
6.
Using visual fractions, show 5/2 on the grid. Convert this to a mixed number and explain the process.
[3 marks]
7.
Construct a visual model of 4 3/5. Show the mixed number and write the equivalent improper fraction.
[3 marks]
8.
A rectangle is divided into 5 equal parts; 4 parts are shaded. Then, the rectangle is divided into 3 larger sections, each containing 5 smaller parts. Shade the sections to represent 4/5 and then show how many total small parts are shaded.
[4 marks]
9.
Visualize and shade 7/3 as a mixed number. Show your reasoning on the grid.
[2 marks]
10.
Challenge: Draw a visual model that shows the sum of 2 1/4 and 3 2/3. Then, convert the total to an improper fraction.
[4 marks]
11.
Identify the common mistake: A student shaded 8/4 as 2, but labeled it as 1. Explain the error and provide the correct mixed number.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet