Ratio and Proportion Worksheet - Free Printable

Let's solve each problem on Ratio and Proportion Sheet 3 step by step. We’ll:

1. Count the number of each object.
2. Write the ratio of one object to the other (e.g., A:B).
3. Find the proportion of each object as a fraction of the total.

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1) Butterflies and Flies

- Butterflies: 5
- Flies: 3
- Total: 5 + 3 = 8

Ratio of butterflies to flies = 5 : 3
Proportion of butterflies = 5/8
Proportion of flies = 3/8

✔ Answer:
- Ratio: 5 : 3
- Proportion of butterfly = 5/8
- Proportion of fly = 3/8

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2) Rabbits and Cats

- Rabbits: 5
- Cats: 6
- Total: 5 + 6 = 11

Ratio of rabbits to cats = 5 : 6
Proportion of rabbits = 5/11
Proportion of cats = 6/11

✔ Answer:
- Ratio: 5 : 6
- Proportion of rabbit = 5/11
- Proportion of cat = 6/11

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3) Snails and Frogs

- Snails: 4
- Frogs: 6
- Total: 4 + 6 = 10

Ratio of snails to frogs = 4 : 6 → Simplify: 2 : 3
Proportion of snails = 4/10 = 2/5
Proportion of frogs = 6/10 = 3/5

✔ Answer:
- Ratio: 2 : 3
- Proportion of snail = 2/5
- Proportion of frog = 3/5

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4) Rockets and Stars

- Rockets: 4
- Stars: 6
- Total: 4 + 6 = 10

Ratio of rockets to stars = 4 : 6 → Simplify: 2 : 3
Proportion of rockets = 4/10 = 2/5
Proportion of stars = 6/10 = 3/5

✔ Answer:
- Ratio: 2 : 3
- Proportion of rocket = 2/5
- Proportion of star = 3/5

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5) Bicycles and Cars

- Bicycles: Count them carefully:
- Row 1: 1 bike, 1 car, 1 bike, 1 car, 1 bike, 1 car, 1 bike, 1 car, 1 bike, 1 car → 5 bikes, 5 cars
- Row 2: 1 car, 1 bike, 1 car, 1 bike, 1 car → 2 bikes, 3 cars
- Total bikes: 5 + 2 = 7
- Total cars: 5 + 3 = 8
- Total objects: 7 + 8 = 15

Ratio of bicycles to cars = 7 : 8
Proportion of bicycles = 7/15
Proportion of cars = 8/15

✔ Answer:
- Ratio: 7 : 8
- Proportion of bicycle = 7/15
- Proportion of car = 8/15

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6) Triangles and Hexagons

- Triangles (△): 6
- Hexagons (⬡): 5
- Total: 6 + 5 = 11

Ratio of triangles to hexagons = 6 : 5
Proportion of triangles = 6/11
Proportion of hexagons = 5/11

✔ Answer:
- Ratio: 6 : 5
- Proportion of triangle = 6/11
- Proportion of hexagon = 5/11

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✔ Final Answers Summary:

| Problem | Ratio | Proportion of First | Proportion of Second |
|--------|-------|----------------------|------------------------|
| 1) | 5 : 3 | 5/8 | 3/8 |
| 2) | 5 : 6 | 5/11 | 6/11 |
| 3) | 2 : 3 | 2/5 | 3/5 |
| 4) | 2 : 3 | 2/5 | 3/5 |
| 5) | 7 : 8 | 7/15 | 8/15 |
| 6) | 6 : 5 | 6/11 | 5/11 |

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🔍 Explanation:

- Ratio: Compares two quantities directly (A:B).
- Proportion: Fraction of each part relative to the whole set (A/(A+B)).
- Always simplify ratios if possible.
- Double-check counts — especially in row-based images like #5.

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