⚖️ Ratio Calculator
Simplify ratios and solve proportion equations A:B = C:D with step-by-step results.
Ratio Calculator
This tool provides two essential ratio operations. The Simplify mode reduces any ratio to its lowest terms by dividing both values by their greatest common divisor. The Solve Proportion mode finds the missing value in an equation of the form A:B = C:D, which is fundamental in cooking, scaling, map reading, and many real-world applications.
Frequently Asked Questions
What is a ratio?
A ratio is a mathematical comparison of two or more quantities, showing how many times one value contains another. It is written as A:B or A/B. For example, a ratio of 3:2 means the first quantity is 1.5 times the second.
How do you simplify a ratio?
To simplify a ratio, divide both numbers by their greatest common divisor (GCD). For example, 12:8 simplifies to 3:2 because the GCD of 12 and 8 is 4, and 12÷4=3, 8÷4=2.
What is a proportion?
A proportion is an equation stating that two ratios are equal: A:B = C:D. If you know three of the four values, you can solve for the unknown. For example, if 3:4 = 6:x, then x = 8.