Ratio & Proportion Visualizer
Enter two numbers to see their ratio as a tape diagram, build a table of equivalent ratios, and find unit rates. Switch to proportion mode to solve for a missing value with step-by-step cross-multiplication. All computation runs in your browser.
Try an example
Tape Diagram
Unit Rate
0.6 per 1
3 / 5
Unit Rate
1.6667 per 1
5 / 3
Equivalent Ratios
| Multiplier | 3 part | : | 5 part |
|---|---|---|---|
| ×1 | 3 | : | 5 |
| ×2 | 6 | : | 10 |
| ×3 | 9 | : | 15 |
| ×4 | 12 | : | 20 |
| ×5 | 15 | : | 25 |
| ×6 | 18 | : | 30 |
| ×7 | 21 | : | 35 |
| ×8 | 24 | : | 40 |
Reference Guide
What Is a Ratio
A ratio compares two quantities. The ratio 3 : 5 means "for every 3 of the first quantity, there are 5 of the second."
Ratios can be written three ways:
- Using a colon: 3 : 5
- As a fraction:
- In words: "3 to 5"
Equivalent Ratios
Multiply (or divide) both parts of a ratio by the same number to get an equivalent ratio. The relationship stays the same.
To simplify a ratio, divide both parts by their greatest common factor. For example, 12 : 8 simplifies to 3 : 2.
Unit Rates
A unit rate tells you how much of one quantity corresponds to exactly 1 of another. Divide one part by the other.
If you drive 150 miles in 3 hours, the unit rate is miles per hour.
Cross-Multiplication
When two ratios are equal (a proportion), you can cross-multiply to find a missing value.
Solve for the unknown by dividing. For example, if , then so .