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Simplify 138:82
The simplified ratio of 138:82 is 69:41. Free ratio calculator with GCD breakdown.
69:41
GCD of 138 and 82 is 2. Simplified: 138/2 : 82/2 = 69:41
How This Was Calculated
Simplification: Divide both terms by their GCD.A:B = (A/GCD) : (B/GCD)
Solving proportions: A/B = C/D — cross-multiply to find the missing value.
Scaling: Multiply both terms by the scale factor.
Quick Reference Table
| Input | Result |
|---|---|
| 138 / 77 | 138:77 |
| 138 / 80 | 69:40 |
| 138 / 81 | 46:27 |
| 138 / 83 | 138:83 |
| 138 / 84 | 23:14 |
| 138 / 87 | 46:29 |
Frequently Asked Questions
What is a ratio?
A ratio compares two quantities by division.
How do I simplify a ratio?
Divide both numbers by their greatest common divisor (GCD).
Can ratios have decimal values?
Yes, but simplified ratios are typically expressed as whole numbers.