Ratio Calculator
Ratio calculator
Simplify, solve x, scale, or compare ratios.
Supports decimals, fractions, mixed numbers.
Simplified ratio
2:3
24:36 reduces to 2:3.
Live
Exact
Reduced form
Ratio parts
Common factor
12
A ÷ B
0.66666667
A as % of B
66.6667%
Show calculation steps
- Start with the whole-number ratio 24:36.
- Find the greatest common factor of the non-zero terms: 12.
- Divide every term by 12: 2:3.
Formula
Simplified ratio = (a ÷ GCF) : (b ÷ GCF); for a:b = c:d cross multiply ad = bc. - Convert decimal or fractional terms to a common whole-number ratio.
- Divide every non-zero term by their greatest common factor.
- For a missing proportion term, cross multiply and isolate the unknown.
- Scaling multiplies every term by the same non-zero factor, while comparison evaluates each ratio in the stated order.
Example
Worked examples: simplify and solve
- 1 0.5:1.5:2 becomes the whole-number ratio 1:3:4.
- 2 For 4:7 = 10:x, cross multiply to get 4x = 70.
- 3 Divide by 4 to get x = 17.5.
The calculator preserves exact ratio relationships across decimal, fractional, and proportion inputs.
How
- Choose Simplify, Solve x, Scale, or Compare from the visible mode buttons.
- Enter whole numbers, decimals, fractions, mixed numbers, or repeating decimals.
- Read the exact ratio result, ordered decimal metrics, visual parts, and optional calculation steps.
Avoid
- Reversing term order: a:b represents a ÷ b, not b ÷ a.
- Using zero as the second term of a ratio, which makes division undefined.
- Scaling only one term instead of multiplying every term by the same factor.
- Comparing raw term sizes instead of comparing the ordered ratio values.
FAQ
Can I enter decimals or fractions?
Yes. Finite and repeating decimals, fractions, mixed numbers, and whole numbers are converted to exact rational values before calculation.
Can I simplify a three-part or four-part ratio?
Yes. Add up to four terms and the calculator clears denominators before dividing every term by the shared greatest common factor.
Can the unknown be in any proportion position?
Yes. In a:b = c:d, choose A, B, C, or D as the unknown and the calculator isolates it using cross multiplication.
Does order matter when comparing ratios?
Yes. The tool compares a ÷ b with c ÷ d, so reversing either ratio can change the result.
Switch
Switch12
No match.