Multiplying fractions activity featuring a mystery picture of a crab.
A math worksheet titled "Multiplying Fractions - Mystery Pictures" with a grid of colored squares forming a red crab image, accompanied by a key matching fractions to colors.
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Step-by-step solution for: Multiplying Fractions - Color By Number Math Mystery Pictures
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Fractions - Color By Number Math Mystery Pictures
The image you provided is a "Multiplying Fractions Mystery Picture" worksheet. The task involves solving fraction multiplication problems and then coloring the corresponding squares on a grid based on the answers to reveal a hidden picture. Below, I will explain how to solve such problems and interpret the solution.
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#### 1. Understanding the Task
- The worksheet contains a list of fraction multiplication problems.
- Each problem corresponds to a specific color (e.g., Red, Light Blue, Black, White).
- After solving each problem, you use the answer to determine which squares on the grid to color according to the given key.
#### 2. Solving the Fraction Multiplication Problems
Let's solve the first few problems as examples:
1. Problem 1: \( \frac{1}{5} \times \frac{1}{5} \)
- Multiply the numerators: \( 1 \times 1 = 1 \)
- Multiply the denominators: \( 5 \times 5 = 25 \)
- Answer: \( \frac{1}{25} \)
- According to the key, \( \frac{1}{25} \) corresponds to Red.
2. Problem 2: \( \frac{3}{10} \times \frac{1}{5} \)
- Multiply the numerators: \( 3 \times 1 = 3 \)
- Multiply the denominators: \( 10 \times 5 = 50 \)
- Answer: \( \frac{3}{50} \)
- According to the key, \( \frac{3}{50} \) corresponds to Light Blue.
3. Problem 3: \( \frac{27}{32} \times \frac{1}{9} \)
- Multiply the numerators: \( 27 \times 1 = 27 \)
- Multiply the denominators: \( 32 \times 9 = 288 \)
- Simplify the fraction: \( \frac{27}{288} = \frac{3}{32} \) (dividing numerator and denominator by 9)
- Answer: \( \frac{3}{32} \)
- According to the key, \( \frac{3}{32} \) corresponds to Black.
4. Problem 4: \( \frac{2}{25} \times \frac{1}{5} \)
- Multiply the numerators: \( 2 \times 1 = 2 \)
- Multiply the denominators: \( 25 \times 5 = 125 \)
- Answer: \( \frac{2}{125} \)
- According to the key, \( \frac{2}{125} \) corresponds to White.
#### 3. Coloring the Grid
- Each fraction multiplication problem corresponds to a specific square or set of squares on the grid.
- Use the answer to determine the color for those squares.
- For example:
- If Problem 1 (\( \frac{1}{25} \)) corresponds to a square in the grid, color that square Red.
- If Problem 2 (\( \frac{3}{50} \)) corresponds to another square, color it Light Blue.
#### 4. Reveal the Hidden Picture
- Continue solving all the problems and coloring the corresponding squares.
- Once all squares are colored, the hidden picture will be revealed.
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- The grid in the image shows a partially completed mystery picture.
- The colors correspond to the fractions listed in the key.
- The revealed picture appears to be a character with red eyes and a black outline, resembling a classic video game enemy.
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The task involves solving fraction multiplication problems, using the answers to determine which squares to color on the grid, and revealing a hidden picture. Based on the provided key and the grid, the hidden picture is a character with red eyes and a black outline, likely inspired by a classic video game.
Final Answer:
\[
\boxed{\text{The hidden picture is a character with red eyes and a black outline.}}
\]
---
Step-by-Step Explanation
#### 1. Understanding the Task
- The worksheet contains a list of fraction multiplication problems.
- Each problem corresponds to a specific color (e.g., Red, Light Blue, Black, White).
- After solving each problem, you use the answer to determine which squares on the grid to color according to the given key.
#### 2. Solving the Fraction Multiplication Problems
Let's solve the first few problems as examples:
1. Problem 1: \( \frac{1}{5} \times \frac{1}{5} \)
- Multiply the numerators: \( 1 \times 1 = 1 \)
- Multiply the denominators: \( 5 \times 5 = 25 \)
- Answer: \( \frac{1}{25} \)
- According to the key, \( \frac{1}{25} \) corresponds to Red.
2. Problem 2: \( \frac{3}{10} \times \frac{1}{5} \)
- Multiply the numerators: \( 3 \times 1 = 3 \)
- Multiply the denominators: \( 10 \times 5 = 50 \)
- Answer: \( \frac{3}{50} \)
- According to the key, \( \frac{3}{50} \) corresponds to Light Blue.
3. Problem 3: \( \frac{27}{32} \times \frac{1}{9} \)
- Multiply the numerators: \( 27 \times 1 = 27 \)
- Multiply the denominators: \( 32 \times 9 = 288 \)
- Simplify the fraction: \( \frac{27}{288} = \frac{3}{32} \) (dividing numerator and denominator by 9)
- Answer: \( \frac{3}{32} \)
- According to the key, \( \frac{3}{32} \) corresponds to Black.
4. Problem 4: \( \frac{2}{25} \times \frac{1}{5} \)
- Multiply the numerators: \( 2 \times 1 = 2 \)
- Multiply the denominators: \( 25 \times 5 = 125 \)
- Answer: \( \frac{2}{125} \)
- According to the key, \( \frac{2}{125} \) corresponds to White.
#### 3. Coloring the Grid
- Each fraction multiplication problem corresponds to a specific square or set of squares on the grid.
- Use the answer to determine the color for those squares.
- For example:
- If Problem 1 (\( \frac{1}{25} \)) corresponds to a square in the grid, color that square Red.
- If Problem 2 (\( \frac{3}{50} \)) corresponds to another square, color it Light Blue.
#### 4. Reveal the Hidden Picture
- Continue solving all the problems and coloring the corresponding squares.
- Once all squares are colored, the hidden picture will be revealed.
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Observations from the Image
- The grid in the image shows a partially completed mystery picture.
- The colors correspond to the fractions listed in the key.
- The revealed picture appears to be a character with red eyes and a black outline, resembling a classic video game enemy.
---
Final Answer
The task involves solving fraction multiplication problems, using the answers to determine which squares to color on the grid, and revealing a hidden picture. Based on the provided key and the grid, the hidden picture is a character with red eyes and a black outline, likely inspired by a classic video game.
Final Answer:
\[
\boxed{\text{The hidden picture is a character with red eyes and a black outline.}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions coloring worksheet.