🔗 Ratio Calculator
Solve ratios and simplify to lowest terms
Enter 3 values, leave one empty to solve for it: a : b = c : d
:=:
How Ratio Solving Works
Formula
a:b = c:d → a × d = b × c (cross multiplication)
- 1Enter three of the four values in the ratio a:b = c:d.
- 2The calculator uses cross multiplication to find the missing value.
- 3For simplifying, it finds the Greatest Common Divisor (GCD) of both numbers.
- 4Both numbers are divided by the GCD to get the simplest form.
- 5The step-by-step cross multiplication or GCD process is shown.
About Ratio Calculator
Solve and simplify ratios. Find the missing value in a:b = c:d using cross multiplication, or simplify any ratio to its lowest terms using GCD.
Frequently Asked Questions
What is a ratio?
A ratio compares two quantities. The ratio 3:4 means for every 3 of one thing, there are 4 of the other.
How does cross multiplication work?
In a proportion a:b = c:d, cross multiplication gives a × d = b × c. This lets you solve for any one missing value when the other three are known.
What is GCD?
The Greatest Common Divisor (GCD) is the largest number that divides evenly into both numbers. Dividing a ratio by its GCD simplifies it to lowest terms.