Ratio and Proportion Worksheet - Free Printable

Let's solve each problem on Ratio and Proportion Sheet 4 step by step. We’ll:

1. Count the number of each object.
2. Write the ratio in lowest terms.
3. Express the proportion (fraction) of each object relative to the whole, simplified.

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1) Balloons

- Red balloons: 4
- White balloons: 5
- Total: 4 + 5 = 9

Ratio of red to white:
4 : 5 → already in lowest terms.

Proportion of red:
4/9

Proportion of white:
5/9

✔ Answer:
- Ratio: 4 : 5
- Proportion of red: 4/9
- Proportion of white: 5/9

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2) Rabbits and Foxes

- Rabbits (gray): count them → 6
- Foxes (orange): count them → 8
- Total: 6 + 8 = 14

Ratio of rabbit to fox:
6 : 8 → divide both by 2 → 3 : 4

Proportion of rabbits:
6/14 = 3/7

Proportion of foxes:
8/14 = 4/7

✔ Answer:
- Ratio: 3 : 4
- Proportion of rabbit: 3/7
- Proportion of fox: 4/7

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3) Butterflies

- Yellow butterflies: count → 8
- Black butterflies: count → 7
- Total: 8 + 7 = 15

Ratio of yellow to black:
8 : 7 → already in lowest terms.

Proportion of yellow:
8/15

Proportion of black:
7/15

✔ Answer:
- Ratio: 8 : 7
- Proportion of yellow: 8/15
- Proportion of black: 7/15

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4) Cars and Buses

- Yellow cars: count → 7
- Buses: count → 4
- Total: 7 + 4 = 11

Ratio of cars to buses:
7 : 4 → already in lowest terms.

Proportion of cars:
7/11

Proportion of buses:
4/11

✔ Answer:
- Ratio: 7 : 4
- Proportion of cars: 7/11
- Proportion of buses: 4/11

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5) Triangles

- Blue triangles (filled): count → 8
- White triangles (outlined): count → 7
- Total: 8 + 7 = 15

Ratio of blue to white:
8 : 7 → already in lowest terms.

Proportion of blue:
8/15

Proportion of white:
7/15

✔ Answer:
- Ratio: 8 : 7
- Proportion of blue: 8/15
- Proportion of white: 7/15

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6) Numbers List:

List: 42, 35, 27, 24, 36, 61, 85, 40, 53, 76, 17, 49, 34, 51

Step 1: Identify odd and even numbers.

- Even numbers: divisible by 2
→ 42, 24, 36, 40, 76, 34 → 6 even numbers

- Odd numbers: not divisible by 2
→ 35, 27, 61, 85, 53, 17, 49, 51 → 8 odd numbers

Total numbers: 6 + 8 = 14

Ratio of odd to even:
8 : 6 → divide both by 2 → 4 : 3

Proportion of odd numbers:
8/14 = 4/7

Proportion of even numbers:
6/14 = 3/7

✔ Answer:
- Ratio: 4 : 3
- Proportion of odd: 4/7
- Proportion of even: 3/7

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✔ Final Answers Summary:

| Problem | Ratio | Proportion of A | Proportion of B |
|--------|-------|------------------|------------------|
| 1) | 4 : 5 | 4/9 | 5/9 |
| 2) | 3 : 4 | 3/7 | 4/7 |
| 3) | 8 : 7 | 8/15 | 7/15 |
| 4) | 7 : 4 | 7/11 | 4/11 |
| 5) | 8 : 7 | 8/15 | 7/15 |
| 6) | 4 : 3 | 4/7 | 3/7 |

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Let me know if you'd like this formatted as a printable answer sheet!