Free Proportions Worksheets: Printable Ideas - Free Printable

Let's solve each section of this worksheet step by step. The goal is to determine:

1. Proportion of the first fruit
2. Proportion of the second fruit
3. Ratio of the first fruit to the second fruit

We'll go through each row.

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🔹 Row 1: Apples and Lemons

- Apples: 5
- Lemons: 4
- Total fruits: 5 + 4 = 9

Proportion of apples = \( \frac{5}{9} \)
Proportion of lemons = \( \frac{4}{9} \)
Ratio of apples to lemons = \( 5:4 \)

✔ Answers:
- Proportion of 🍎: \( \frac{5}{9} \)
- Proportion of 🍋: \( \frac{4}{9} \)
- Ratio of 🍎 to 🍋: \( 5:4 \)

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🔹 Row 2: Grapefruits and Bananas

- Grapefruits: 7
- Bananas: 8
- Total fruits: 7 + 8 = 15

Proportion of grapefruits = \( \frac{7}{15} \)
Proportion of bananas = \( \frac{8}{15} \)
Ratio of grapefruit to banana = \( 7:8 \)

✔ Answers:
- Proportion of 🍊: \( \frac{7}{15} \)
- Proportion of 🍌: \( \frac{8}{15} \)
- Ratio of 🍊 to 🍌: \( 7:8 \)

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🔹 Row 3: Avocados and Strawberries

- Avocados: 7
- Strawberries: 10 (top row: 5, bottom row: 5 → total 10)
- Total fruits: 7 + 10 = 17

Proportion of avocados = \( \frac{7}{17} \)
Proportion of strawberries = \( \frac{10}{17} \)
Ratio of avocado to strawberry = \( 7:10 \)

✔ Answers:
- Proportion of 🥑: \( \frac{7}{17} \)
- Proportion of 🍓: \( \frac{10}{17} \)
- Ratio of 🥑 to 🍓: \( 7:10 \)

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🔹 Row 4: Oranges and Kiwis

- Oranges: 8
- Kiwis: 2 rows × 8 = 16
- Total fruits: 8 + 16 = 24

Proportion of oranges = \( \frac{8}{24} = \frac{1}{3} \)
Proportion of kiwis = \( \frac{16}{24} = \frac{2}{3} \)
Ratio of orange to kiwi = \( 8:16 = 1:2 \)

✔ Answers:
- Proportion of 🍊: \( \frac{1}{3} \)
- Proportion of 🥝: \( \frac{2}{3} \)
- Ratio of 🍊 to 🥝: \( 1:2 \)

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🔹 Row 5: Pineapples and Watermelon Slices

- Pineapples: 2 rows × 4 = 8
- Watermelon slices: 3 rows × 4 = 12
- Total fruits: 8 + 12 = 20

Proportion of pineapples = \( \frac{8}{20} = \frac{2}{5} \)
Proportion of watermelon slices = \( \frac{12}{20} = \frac{3}{5} \)
Ratio of pineapple to watermelon = \( 8:12 = 2:3 \)

✔ Answers:
- Proportion of 🍍: \( \frac{2}{5} \)
- Proportion of 🍉: \( \frac{3}{5} \)
- Ratio of 🍍 to 🍉: \( 2:3 \)

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✔ Final Answer Summary:

| Row | Fruit 1 | Fruit 2 | Proportion 1 | Proportion 2 | Ratio |
|-----|--------|--------|--------------|--------------|-------|
| 1 | Apple | Lemon | \( \frac{5}{9} \) | \( \frac{4}{9} \) | \( 5:4 \) |
| 2 | Grapefruit | Banana | \( \frac{7}{15} \) | \( \frac{8}{15} \) | \( 7:8 \) |
| 3 | Avocado | Strawberry | \( \frac{7}{17} \) | \( \frac{10}{17} \) | \( 7:10 \) |
| 4 | Orange | Kiwi | \( \frac{1}{3} \) | \( \frac{2}{3} \) | \( 1:2 \) |
| 5 | Pineapple | Watermelon | \( \frac{2}{5} \) | \( \frac{3}{5} \) | \( 2:3 \) |

You can now fill these answers into the blank boxes on the worksheet accordingly. Let me know if you'd like a printable version or visual formatting!