Free Proportions Worksheets: Printable Ideas - Free Printable

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

1. Proportion of each fruit (i.e., fraction of total fruits).
2. Ratio between the two types of fruits in 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:
$$
5:4
$$

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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 grapefruits to bananas:
$$
7:8
$$

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🔹 Row 3: Avocados and Strawberries

- Avocados: 7
- Strawberries: 10
- Total fruits: 7 + 10 = 17

Proportion of avocados:
$$
\frac{7}{17}
$$

Proportion of strawberries:
$$
\frac{10}{17}
$$

Ratio of avocados to strawberries:
$$
7:10
$$

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🔹 Row 4: Oranges and Kiwis

- Oranges: 8
- Kiwis: 16 (top row: 8, bottom row: 8 → total 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 oranges to kiwis:
$$
8:16 = 1:2
$$

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🔹 Row 5: Pineapples and Watermelon Slices

- Pineapples: 8
- Watermelon slices: 9
- Total fruits: 8 + 9 = 17

Proportion of pineapples:
$$
\frac{8}{17}
$$

Proportion of watermelon slices:
$$
\frac{9}{17}
$$

Ratio of pineapples to watermelon slices:
$$
8:9
$$

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✔ Final Answers:

#### Row 1: Apples & Lemons
- Proportion of 🍎: $ \frac{5}{9} $
- Proportion of 🍋: $ \frac{4}{9} $
- Ratio of 🍎:🍋: $ 5:4 $

#### Row 2: Grapefruits & Bananas
- Proportion of 🍉: $ \frac{7}{15} $
- Proportion of 🍌: $ \frac{8}{15} $
- Ratio of 🍉:🍌: $ 7:8 $

#### Row 3: Avocados & Strawberries
- Proportion of 🥑: $ \frac{7}{17} $
- Proportion of 🍓: $ \frac{10}{17} $
- Ratio of 🥑:🍓: $ 7:10 $

#### Row 4: Oranges & Kiwis
- Proportion of 🍊: $ \frac{1}{3} $
- Proportion of 🥝: $ \frac{2}{3} $
- Ratio of 🍊:🥝: $ 1:2 $

#### Row 5: Pineapples & Watermelon
- Proportion of 🍍: $ \frac{8}{17} $
- Proportion of 🍉: $ \frac{9}{17} $
- Ratio of 🍍:🍉: $ 8:9 $

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💡 Explanation:

- Proportion means the fraction of a part over the whole.
- Ratio compares the quantities directly (e.g., apples to lemons).
- Always simplify ratios and fractions when possible.

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