Ratio to Fraction Worksheets - Math Monks - Free Printable

Let's solve each problem on the "Part-to-Part Ratio Sheet 3" step by step.

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1) Red balloons to white balloons

Image:
There are 5 red balloons and 5 white balloons.

- Words: 5 to 5
- Ratio: 5 : 5
- Fraction: $ \frac{5}{5} = 1 $

✔ Answer:
- Words: 5 to 5
- Ratio: 5 : 5
- Fraction: $ \frac{5}{5} $ (or simplified, $ \frac{1}{1} $)

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2) Buckets to sandcastles

Image:
There are 4 buckets (with blue handles) and 4 sandcastles (with flags).

- Words: 4 to 4
- Ratio: 4 : 4
- Fraction: $ \frac{4}{4} = 1 $

✔ Answer:
- Words: 4 to 4
- Ratio: 4 : 4
- Fraction: $ \frac{4}{4} $ or $ \frac{1}{1} $

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3) Apples to pears

Image:
There are 3 apples (red with stem) and 7 pears (green).

- Words: 3 to 7
- Ratio: 3 : 7
- Fraction: $ \frac{3}{7} $

✔ Answer:
- Words: 3 to 7
- Ratio: 3 : 7
- Fraction: $ \frac{3}{7} $

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4) Odd numbers to even numbers

List: 13, 48, 71, 37, 34, 29, 50, 85

Identify odd and even:

- Odd numbers: 13, 71, 37, 29, 85 → 5 odd
- Even numbers: 48, 34, 50 → 3 even

- Words: 5 to 3
- Ratio: 5 : 3
- Fraction: $ \frac{5}{3} $

✔ Answer:
- Words: 5 to 3
- Ratio: 5 : 3
- Fraction: $ \frac{5}{3} $

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5) 2D shapes to 3D shapes

Shapes shown:

- 2D shapes: diamond, triangle, diamond, pentagon, triangle → 5
- 3D shapes: cube, cylinder, rectangular prism, cylinder, rectangular prism → 5

Wait, let’s count carefully:

From left to right:
1. Diamond (2D)
2. Cube (3D)
3. Triangle (2D)
4. Cylinder (3D)
5. Diamond (2D)
6. Pentagon (2D)
7. Rectangular prism (3D)
8. Cylinder (3D)
9. Triangle (2D)
10. Rectangular prism (3D)

So:
- 2D: positions 1, 3, 5, 6, 9 → 5
- 3D: positions 2, 4, 7, 8, 10 → 5

- Words: 5 to 5
- Ratio: 5 : 5
- Fraction: $ \frac{5}{5} = 1 $

✔ Answer:
- Words: 5 to 5
- Ratio: 5 : 5
- Fraction: $ \frac{5}{5} $ or $ \frac{1}{1} $

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6) Shapes with a right angle to shapes without a right angle

Shapes:

1. Trapezoid → has right angles? Possibly one or two — assume yes if it's a right trapezoid. But visually, this one looks like it has right angles.
2. Diamond (rhombus) → no right angles unless square → no
3. Right triangle → has a right angle → yes
4. Rectangle → has right angles → yes
5. Equilateral triangle → all angles 60° → no
6. Parallelogram → not necessarily → but if not a rectangle, likely no
7. Rhombus → no right angles → no
8. Rectangle → yes
9. Right triangle → yes

Let’s go shape by shape:

- 1. Trapezoid → has right angles? In many such drawings, yes → yes
- 2. Diamond (rhombus) → no
- 3. Right triangle → yes
- 4. Rectangle → yes
- 5. Triangle (equilateral) → no
- 6. Parallelogram → usually no right angles → no
- 7. Diamond → no
- 8. Rectangle → yes
- 9. Right triangle → yes

So:
- With right angles: 1, 3, 4, 8, 9 → 5
- Without right angles: 2, 5, 6, 7 → 4

Wait, that’s 5 vs 4?

But let’s double-check:

Actually, the image shows:

1. Trapezoid → likely has two right angles → yes
2. Rhombus → no → no
3. Right triangle → yes
4. Rectangle → yes
5. Equilateral triangle → no
6. Parallelogram → no
7. Rhombus → no
8. Rectangle → yes
9. Right triangle → yes

So:
- With right angles: 1, 3, 4, 8, 9 → 5
- Without: 2, 5, 6, 7 → 4

✔ Answer:
- Words: 5 to 4
- Ratio: 5 : 4
- Fraction: $ \frac{5}{4} $

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7) Multiples of 3 to non-multiples of 3

Numbers: 5, 12, 11, 23, 30, 27, 13, 15, 3

Check which are multiples of 3:

- 5 → no
- 12 → yes (12 ÷ 3 = 4)
- 11 → no
- 23 → no
- 30 → yes
- 27 → yes
- 13 → no
- 15 → yes
- 3 → yes

So:
- Multiples of 3: 12, 30, 27, 15, 3 → 5
- Non-multiples: 5, 11, 23, 13 → 4

✔ Answer:
- Words: 5 to 4
- Ratio: 5 : 4
- Fraction: $ \frac{5}{4} $

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✔ Final Answers Summary:

| Problem | Words | Ratio | Fraction |
|--------|-------------|---------|--------------|
| 1 | 5 to 5 | 5 : 5 | $ \frac{5}{5} $ or $ \frac{1}{1} $ |
| 2 | 4 to 4 | 4 : 4 | $ \frac{4}{4} $ or $ \frac{1}{1} $ |
| 3 | 3 to 7 | 3 : 7 | $ \frac{3}{7} $ |
| 4 | 5 to 3 | 5 : 3 | $ \frac{5}{3} $ |
| 5 | 5 to 5 | 5 : 5 | $ \frac{5}{5} $ or $ \frac{1}{1} $ |
| 6 | 5 to 4 | 5 : 4 | $ \frac{5}{4} $ |
| 7 | 5 to 4 | 5 : 4 | $ \frac{5}{4} $ |

> 💡 Note: For fractions, you can simplify where possible (e.g., $ \frac{5}{5} = 1 $), but since the sheet asks for "fraction", either form is acceptable, though simplified is preferred.

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