Ratio and Proportion Worksheet - Free Printable

Let's solve each problem step by step from Ratio and Proportion Sheet 3. We are asked to:

1. Write the ratio of one object to another.
2. Record the proportion (as a fraction) of each object relative to the whole set.

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Problem 1: Butterflies and Flies

Image:
5 butterflies, 3 flies

- Total = 5 + 3 = 8

Ratio of butterflies to flies = 5 : 3
Proportion of butterflies = $ \frac{5}{8} $
Proportion of flies = $ \frac{3}{8} $

✔ Answer:
- Ratio: 5 : 3
- Proportion of butterfly: $ \frac{5}{8} $
- Proportion of fly: $ \frac{3}{8} $

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Problem 2: Rabbits and Cats

Image:
5 black rabbits, 5 orange cats

- Total = 5 + 5 = 10

Ratio of rabbits to cats = 5 : 5 = 1 : 1
Proportion of rabbits = $ \frac{5}{10} = \frac{1}{2} $
Proportion of cats = $ \frac{5}{10} = \frac{1}{2} $

✔ Answer:
- Ratio: 1 : 1
- Proportion of rabbit: $ \frac{1}{2} $
- Proportion of cat: $ \frac{1}{2} $

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Problem 3: Snails and Frogs

Image:
4 snails, 6 frogs

- Total = 4 + 6 = 10

Ratio of snails to frogs = 4 : 6 = 2 : 3 (simplified)
Proportion of snails = $ \frac{4}{10} = \frac{2}{5} $
Proportion of frogs = $ \frac{6}{10} = \frac{3}{5} $

✔ Answer:
- Ratio: 2 : 3
- Proportion of snail: $ \frac{2}{5} $
- Proportion of frog: $ \frac{3}{5} $

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Problem 4: Rockets and Stars

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

Ratio of rockets to stars = 4 : 6 = 2 : 3
Proportion of rockets = $ \frac{4}{10} = \frac{2}{5} $
Proportion of stars = $ \frac{6}{10} = \frac{3}{5} $

✔ Answer:
- Ratio: 2 : 3
- Proportion of rocket: $ \frac{2}{5} $
- Proportion of star: $ \frac{3}{5} $

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Problem 5: Bicycles and Cars

Image:
Counting carefully:

- Bicycles: 7
- Cars: 6
Total = 7 + 6 = 13

Ratio of bicycles to cars = 7 : 6
Proportion of bicycles = $ \frac{7}{13} $
Proportion of cars = $ \frac{6}{13} $

✔ Answer:
- Ratio: 7 : 6
- Proportion of bicycle: $ \frac{7}{13} $
- Proportion of car: $ \frac{6}{13} $

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Problem 6: Triangles and Hexagons

Image:
Triangles (▲): 6
Hexagons (⬡): 5
Total = 6 + 5 = 11

Ratio of triangles to hexagons = 6 : 5
Proportion of triangles = $ \frac{6}{11} $
Proportion of hexagons = $ \frac{5}{11} $

✔ Answer:
- Ratio: 6 : 5
- Proportion of triangle: $ \frac{6}{11} $
- Proportion of hexagon: $ \frac{5}{11} $

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✔ Final Answers Summary:

| Problem | Ratio | Proportion of Object A | Proportion of Object B |
|--------|-------|-------------------------|-------------------------|
| 1 | Butterflies : Flies = 5 : 3 | $ \frac{5}{8} $ | $ \frac{3}{8} $ |
| 2 | Rabbits : Cats = 1 : 1 | $ \frac{1}{2} $ | $ \frac{1}{2} $ |
| 3 | Snails : Frogs = 2 : 3 | $ \frac{2}{5} $ | $ \frac{3}{5} $ |
| 4 | Rockets : Stars = 2 : 3 | $ \frac{2}{5} $ | $ \frac{3}{5} $ |
| 5 | Bicycles : Cars = 7 : 6 | $ \frac{7}{13} $ | $ \frac{6}{13} $ |
| 6 | Triangles : Hexagons = 6 : 5 | $ \frac{6}{11} $ | $ \frac{5}{11} $ |

> 📌 Note: Ratios should be simplified when possible. Proportions are fractions of the total number of items.

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