Ratio Calculator
Simplify ratios and solve ratio problems. Compare quantities with ratios.
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For simplify: just fill A and B. For solve: fill 3 values. For compare: fill all 4.
Try:
How to Use
- Enter the first number (A) of your ratio
- Enter the second number (B) of your ratio
- Click "Simplify Ratio" to get the simplified form
- View equivalent ratios and other representations
What is Ratio Calculator?
A ratio compares two quantities by division, showing how many times one value contains another. Ratios are written as A:B and can be simplified by dividing both numbers by their greatest common factor (GCD). They are used in recipes, maps, models, and many real-world applications.
Formula
Simplifying a Ratio:
1. Find the GCD of both numbers
2. Divide both numbers by the GCD
Example: 12:8 → GCD is 4 → 12÷4:8÷4 = 3:2
Examples
- 6:4 = 3:2 (divided by 2)
- 15:25 = 3:5 (divided by 5)
- 100:75 = 4:3 (divided by 25)
- 18:24 = 3:4 (divided by 6)
FAQ
What's the difference between a ratio and a fraction?
A ratio compares two quantities (A:B or A to B), while a fraction represents a part of a whole (A/B). However, ratios can be written as fractions and vice versa. The ratio 3:4 equals the fraction 3/4.
How do I find equivalent ratios?
Multiply or divide both parts of the ratio by the same number. For example, 2:3 is equivalent to 4:6, 6:9, 8:12, etc.
What is a ratio used for?
Ratios are used in cooking (recipes), maps (scale), mixing (paint colors), finance (price comparisons), and many other everyday situations.