Simple ratio worksheet with visual examples and answer key for educational use.

The image you've uploaded is a Ratio Worksheet titled "Simple Ratio Math Worksheet 1" from DadsWorksheets.com, and it includes an answer key. The task is to find the ratios between two groups of fruits, simplify them, and write the simplified answers.

Let’s go through each problem step by step and explain how the answers were derived.

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🔹 Problem 1: Apples to Oranges

- Apples: 2
- Oranges: 4
- Ratio: 2:4
- Simplified: Divide both numbers by their greatest common divisor (GCD), which is 2 →
$$
\frac{2}{4} = \frac{1}{2} \Rightarrow 1:2
$$

✔ Answer: 1:2

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🔹 Problem 2: Lemons to Cherries

- Lemons: 8
- Cherries: 6
- Ratio: 8:6
- Simplified: GCD of 8 and 6 is 2 →
$$
\frac{8}{6} = \frac{4}{3} \Rightarrow 4:3
$$

✔ Answer: 4:3

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🔹 Problem 3: Bananas to Avocados

- Bananas: 6
- Avocados: 3
- Ratio: 6:3
- Simplified: GCD is 3 →
$$
\frac{6}{3} = \frac{2}{1} \Rightarrow 2:1
$$

✔ Answer: 2:1

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🔹 Problem 4: Pineapples to Grapes

- Pineapples: 6
- Grapes: 9
- Ratio: 6:9
- Simplified: GCD is 3 →
$$
\frac{6}{9} = \frac{2}{3} \Rightarrow 2:3
$$

✔ Answer: 2:3

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🔹 Problem 5: Kiwis to Strawberries

- Kiwis: 2
- Strawberries: 8
- Ratio: 2:8
- Simplified: GCD is 2 →
$$
\frac{2}{8} = \frac{1}{4} \Rightarrow 1:4
$$

✔ Answer: 1:4

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🔹 Problem 6: Peaches to Pears

- Peaches: 6
- Pears: 2
- Ratio: 6:2
- Simplified: GCD is 2 →
$$
\frac{6}{2} = \frac{3}{1} \Rightarrow 3:1
$$

✔ Answer: 3:1

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🔹 Problem 7: Mangoes to Apples

- Mangoes: 4
- Apples: 6
- Ratio: 4:6
- Simplified: GCD is 2 →
$$
\frac{4}{6} = \frac{2}{3} \Rightarrow 2:3
$$

✔ Answer: 2:3

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🔹 Problem 8: Pineapples to Watermelons

- Pineapples: 3
- Watermelons: 9
- Ratio: 3:9
- Simplified: GCD is 3 →
$$
\frac{3}{9} = \frac{1}{3} \Rightarrow 1:3
$$

✔ Answer: 1:3

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✔ Summary of All Answers:

| Problem | Ratio (Unsimplified) | Simplified |
|--------|-----------------------|------------|
| 1 | 2:4 | 1:2 |
| 2 | 8:6 | 4:3 |
| 3 | 6:3 | 2:1 |
| 4 | 6:9 | 2:3 |
| 5 | 2:8 | 1:4 |
| 6 | 6:2 | 3:1 |
| 7 | 4:6 | 2:3 |
| 8 | 3:9 | 1:3 |

All answers in the Answer Key are correct and match the simplifications above.

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📝 How to Solve These Problems:

1. Count the number of items in each group.
2. Write the ratio as "number of first item : number of second item".
3. Simplify the ratio by dividing both numbers by their greatest common divisor (GCD).
4. Express the final answer in the form a:b.

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✔ This worksheet helps students practice identifying and simplifying ratios using visual representations — a great tool for building foundational math skills!