Ratio Worksheets - Free Printable
Educational worksheet: Ratio Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Ratio Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Ratio Worksheets
To solve the problems in the image, we need to determine the ratio of a specific part to the whole (part-to-part ratio) for each scenario. Let's go through each problem step by step.
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- Image Description: There are 5 blue circles and 3 red circles.
- Solution:
- The number of blue circles is 5.
- The number of red circles is 3.
- The ratio of blue to red is written as \( \text{blue} : \text{red} \).
- Therefore, the ratio is \( 5 : 3 \).
Answer: \( 5 : 3 \)
---
- Image Description: There are 4 yellow squares and 2 green squares.
- Solution:
- The number of yellow squares is 4.
- The number of green squares is 2.
- The ratio of yellow to green is written as \( \text{yellow} : \text{green} \).
- Therefore, the ratio is \( 4 : 2 \).
- Simplify the ratio by dividing both numbers by their greatest common divisor (GCD), which is 2:
\[
4 \div 2 = 2, \quad 2 \div 2 = 1
\]
So, the simplified ratio is \( 2 : 1 \).
Answer: \( 2 : 1 \)
---
- Image Description: There are 3 triangles and 6 circles.
- Solution:
- The number of triangles is 3.
- The number of circles is 6.
- The ratio of triangles to circles is written as \( \text{triangles} : \text{circles} \).
- Therefore, the ratio is \( 3 : 6 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 3:
\[
3 \div 3 = 1, \quad 6 \div 3 = 2
\]
So, the simplified ratio is \( 1 : 2 \).
Answer: \( 1 : 2 \)
---
- Image Description: There are 2 bags and 4 flowers.
- Solution:
- The number of bags is 2.
- The number of flowers is 4.
- The ratio of bags to flowers is written as \( \text{bags} : \text{flowers} \).
- Therefore, the ratio is \( 2 : 4 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 2:
\[
2 \div 2 = 1, \quad 4 \div 2 = 2
\]
So, the simplified ratio is \( 1 : 2 \).
Answer: \( 1 : 2 \)
---
- Image Description: There are 6 apples and 3 oranges.
- Solution:
- The number of apples is 6.
- The number of oranges is 3.
- The ratio of apples to oranges is written as \( \text{apples} : \text{oranges} \).
- Therefore, the ratio is \( 6 : 3 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 3:
\[
6 \div 3 = 2, \quad 3 \div 3 = 1
\]
So, the simplified ratio is \( 2 : 1 \).
Answer: \( 2 : 1 \)
---
1. \( 5 : 3 \)
2. \( 2 : 1 \)
3. \( 1 : 2 \)
4. \( 1 : 2 \)
5. \( 2 : 1 \)
\[
\boxed{5:3, 2:1, 1:2, 1:2, 2:1}
\]
---
Problem 1: The ratio of blue to red
- Image Description: There are 5 blue circles and 3 red circles.
- Solution:
- The number of blue circles is 5.
- The number of red circles is 3.
- The ratio of blue to red is written as \( \text{blue} : \text{red} \).
- Therefore, the ratio is \( 5 : 3 \).
Answer: \( 5 : 3 \)
---
Problem 2: The ratio of yellow to green
- Image Description: There are 4 yellow squares and 2 green squares.
- Solution:
- The number of yellow squares is 4.
- The number of green squares is 2.
- The ratio of yellow to green is written as \( \text{yellow} : \text{green} \).
- Therefore, the ratio is \( 4 : 2 \).
- Simplify the ratio by dividing both numbers by their greatest common divisor (GCD), which is 2:
\[
4 \div 2 = 2, \quad 2 \div 2 = 1
\]
So, the simplified ratio is \( 2 : 1 \).
Answer: \( 2 : 1 \)
---
Problem 3: The ratio of triangles to circles
- Image Description: There are 3 triangles and 6 circles.
- Solution:
- The number of triangles is 3.
- The number of circles is 6.
- The ratio of triangles to circles is written as \( \text{triangles} : \text{circles} \).
- Therefore, the ratio is \( 3 : 6 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 3:
\[
3 \div 3 = 1, \quad 6 \div 3 = 2
\]
So, the simplified ratio is \( 1 : 2 \).
Answer: \( 1 : 2 \)
---
Problem 4: The ratio of bags to flowers
- Image Description: There are 2 bags and 4 flowers.
- Solution:
- The number of bags is 2.
- The number of flowers is 4.
- The ratio of bags to flowers is written as \( \text{bags} : \text{flowers} \).
- Therefore, the ratio is \( 2 : 4 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 2:
\[
2 \div 2 = 1, \quad 4 \div 2 = 2
\]
So, the simplified ratio is \( 1 : 2 \).
Answer: \( 1 : 2 \)
---
Problem 5: The ratio of apples to oranges
- Image Description: There are 6 apples and 3 oranges.
- Solution:
- The number of apples is 6.
- The number of oranges is 3.
- The ratio of apples to oranges is written as \( \text{apples} : \text{oranges} \).
- Therefore, the ratio is \( 6 : 3 \).
- Simplify the ratio by dividing both numbers by their GCD, which is 3:
\[
6 \div 3 = 2, \quad 3 \div 3 = 1
\]
So, the simplified ratio is \( 2 : 1 \).
Answer: \( 2 : 1 \)
---
Final Answers
1. \( 5 : 3 \)
2. \( 2 : 1 \)
3. \( 1 : 2 \)
4. \( 1 : 2 \)
5. \( 2 : 1 \)
\[
\boxed{5:3, 2:1, 1:2, 1:2, 2:1}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet on ratios.
