Multiply fractions to reveal a colorful pizza and cupcake picture.
A math worksheet titled "Multiplying Fractions. Color By Code," featuring a pizza and cupcake illustration divided into sections with fraction problems. A color key matches answers to colors for coloring.
JPG
350×271
36.1 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #285658
⭐
Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions - Color by Code / Coloring Pages - Food by ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions - Color by Code / Coloring Pages - Food by ...
This is a "Color by Code" activity where you solve multiplication problems involving fractions and then color the corresponding sections of the image based on the answers. Let's go through the steps to solve the problems and explain how to complete the task.
---
- You are given a set of fraction multiplication problems.
- Solve each problem.
- Match the answer to the provided Answer Box.
- Color the sections of the image according to the color code in the Answer Box.
---
We will solve each problem step by step:
#### Problem 1: \( \frac{9}{1} \times \frac{1}{6} \)
\[
\frac{9}{1} \times \frac{1}{6} = \frac{9 \times 1}{1 \times 6} = \frac{9}{6} = \frac{3}{2}
\]
Answer: \( \frac{3}{2} \)
#### Problem 2: \( \frac{9}{15} \times \frac{2}{7} \)
\[
\frac{9}{15} \times \frac{2}{7} = \frac{9 \times 2}{15 \times 7} = \frac{18}{105}
\]
Simplify \( \frac{18}{105} \):
\[
\text{GCD of 18 and 105 is 3.} \quad \frac{18 \div 3}{105 \div 3} = \frac{6}{35}
\]
Answer: \( \frac{6}{35} \)
#### Problem 3: \( \frac{3}{4} \times \frac{1}{9} \)
\[
\frac{3}{4} \times \frac{1}{9} = \frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]
Simplify \( \frac{3}{36} \):
\[
\text{GCD of 3 and 36 is 3.} \quad \frac{3 \div 3}{36 \div 3} = \frac{1}{12}
\]
Answer: \( \frac{1}{12} \)
#### Problem 4: \( \frac{1}{3} \times \frac{1}{15} \)
\[
\frac{1}{3} \times \frac{1}{15} = \frac{1 \times 1}{3 \times 15} = \frac{1}{45}
\]
Answer: \( \frac{1}{45} \)
#### Problem 5: \( \frac{2}{7} \times \frac{7}{2} \)
\[
\frac{2}{7} \times \frac{7}{2} = \frac{2 \times 7}{7 \times 2} = \frac{14}{14} = 1
\]
Answer: \( 1 \)
#### Problem 6: \( \frac{1}{2} \times \frac{1}{4} \)
\[
\frac{1}{2} \times \frac{1}{4} = \frac{1 \times 1}{2 \times 4} = \frac{1}{8}
\]
Answer: \( \frac{1}{8} \)
#### Problem 7: \( \frac{6}{5} \times \frac{4}{7} \)
\[
\frac{6}{5} \times \frac{4}{7} = \frac{6 \times 4}{5 \times 7} = \frac{24}{35}
\]
Answer: \( \frac{24}{35} \)
#### Problem 8: \( \frac{6}{5} \times \frac{2}{5} \)
\[
\frac{6}{5} \times \frac{2}{5} = \frac{6 \times 2}{5 \times 5} = \frac{12}{25}
\]
Answer: \( \frac{12}{25} \)
---
Now, match each answer to the corresponding color in the Answer Box:
- \( \frac{3}{2} \): Green
- \( \frac{6}{35} \): Dark Blue
- \( \frac{1}{12} \): Purple
- \( \frac{1}{45} \): Yellow
- \( 1 \): White
- \( \frac{1}{8} \): Brown
- \( \frac{24}{35} \): Pink
- \( \frac{12}{25} \): Change
---
Using the matching answers, color the sections of the image as follows:
- Sections labeled with \( \frac{3}{2} \): Color Green
- Sections labeled with \( \frac{6}{35} \): Color Dark Blue
- Sections labeled with \( \frac{1}{12} \): Color Purple
- Sections labeled with \( \frac{1}{45} \): Color Yellow
- Sections labeled with \( 1 \): Color White
- Sections labeled with \( \frac{1}{8} \): Color Brown
- Sections labeled with \( \frac{24}{35} \): Color Pink
- Sections labeled with \( \frac{12}{25} \): Color Change (as indicated)
---
After solving all the problems and coloring the sections accordingly, the completed image will be colored based on the solutions. The final answer to the task is the correctly colored image.
\[
\boxed{\text{Completed Colored Image}}
\]
---
Step 1: Understand the Task
- You are given a set of fraction multiplication problems.
- Solve each problem.
- Match the answer to the provided Answer Box.
- Color the sections of the image according to the color code in the Answer Box.
---
Step 2: Solve Each Fraction Multiplication Problem
We will solve each problem step by step:
#### Problem 1: \( \frac{9}{1} \times \frac{1}{6} \)
\[
\frac{9}{1} \times \frac{1}{6} = \frac{9 \times 1}{1 \times 6} = \frac{9}{6} = \frac{3}{2}
\]
Answer: \( \frac{3}{2} \)
#### Problem 2: \( \frac{9}{15} \times \frac{2}{7} \)
\[
\frac{9}{15} \times \frac{2}{7} = \frac{9 \times 2}{15 \times 7} = \frac{18}{105}
\]
Simplify \( \frac{18}{105} \):
\[
\text{GCD of 18 and 105 is 3.} \quad \frac{18 \div 3}{105 \div 3} = \frac{6}{35}
\]
Answer: \( \frac{6}{35} \)
#### Problem 3: \( \frac{3}{4} \times \frac{1}{9} \)
\[
\frac{3}{4} \times \frac{1}{9} = \frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]
Simplify \( \frac{3}{36} \):
\[
\text{GCD of 3 and 36 is 3.} \quad \frac{3 \div 3}{36 \div 3} = \frac{1}{12}
\]
Answer: \( \frac{1}{12} \)
#### Problem 4: \( \frac{1}{3} \times \frac{1}{15} \)
\[
\frac{1}{3} \times \frac{1}{15} = \frac{1 \times 1}{3 \times 15} = \frac{1}{45}
\]
Answer: \( \frac{1}{45} \)
#### Problem 5: \( \frac{2}{7} \times \frac{7}{2} \)
\[
\frac{2}{7} \times \frac{7}{2} = \frac{2 \times 7}{7 \times 2} = \frac{14}{14} = 1
\]
Answer: \( 1 \)
#### Problem 6: \( \frac{1}{2} \times \frac{1}{4} \)
\[
\frac{1}{2} \times \frac{1}{4} = \frac{1 \times 1}{2 \times 4} = \frac{1}{8}
\]
Answer: \( \frac{1}{8} \)
#### Problem 7: \( \frac{6}{5} \times \frac{4}{7} \)
\[
\frac{6}{5} \times \frac{4}{7} = \frac{6 \times 4}{5 \times 7} = \frac{24}{35}
\]
Answer: \( \frac{24}{35} \)
#### Problem 8: \( \frac{6}{5} \times \frac{2}{5} \)
\[
\frac{6}{5} \times \frac{2}{5} = \frac{6 \times 2}{5 \times 5} = \frac{12}{25}
\]
Answer: \( \frac{12}{25} \)
---
Step 3: Match Answers to the Answer Box
Now, match each answer to the corresponding color in the Answer Box:
- \( \frac{3}{2} \): Green
- \( \frac{6}{35} \): Dark Blue
- \( \frac{1}{12} \): Purple
- \( \frac{1}{45} \): Yellow
- \( 1 \): White
- \( \frac{1}{8} \): Brown
- \( \frac{24}{35} \): Pink
- \( \frac{12}{25} \): Change
---
Step 4: Color the Image
Using the matching answers, color the sections of the image as follows:
- Sections labeled with \( \frac{3}{2} \): Color Green
- Sections labeled with \( \frac{6}{35} \): Color Dark Blue
- Sections labeled with \( \frac{1}{12} \): Color Purple
- Sections labeled with \( \frac{1}{45} \): Color Yellow
- Sections labeled with \( 1 \): Color White
- Sections labeled with \( \frac{1}{8} \): Color Brown
- Sections labeled with \( \frac{24}{35} \): Color Pink
- Sections labeled with \( \frac{12}{25} \): Color Change (as indicated)
---
Final Answer
After solving all the problems and coloring the sections accordingly, the completed image will be colored based on the solutions. The final answer to the task is the correctly colored image.
\[
\boxed{\text{Completed Colored Image}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions coloring worksheet.