Ratio Solver

Ratio Calculator

Simplify ratios and solve equivalent fraction proportions instantly with our dynamic comparative bar visualizer.

Select Solver Mode

Scenario A: Simplify Ratio (A : B)

Ratio : Simplified: 2 : 3

Scenario B: Equivalent Proportion (A : B = C : D)

Enter 3 values, leave 1 blank or 'x' to solve for the missing element:

: = :

Solved Proportion: 3 : 4 = 9 : 12

Comparative Proportions

2 : 3

Derivation Details:

GCD of 16 and 24 is 8. Simplified ratio is 16/8 : 24/8 = 2 : 3

What is the Ratio Calculator?

The Ratio Calculator is used to compare quantities, simplify large ratios, or find missing values in equivalent proportions. Ratios are essential in baking, mixing chemicals, calculating aspect ratios, and financial analysis.

How It Works (Formula)

A ratio (A:B) operates mathematically like a fraction. To find a missing value in a proportional relationship ($A:B = C:D$), the calculator uses cross-multiplication. It multiplies the known diagonal values and divides by the remaining number.

$$ \frac{A}{B} = \frac{C}{D} \implies A \times D = B \times C $$

The cross-multiplication rule for solving equivalent ratios.

How to Use It

To scale a recipe or image, enter your known ratio (e.g., 16 and 9) in the A and B boxes. Enter your target width in box C, and the calculator will output the perfectly scaled D value. You can also use it to simply reduce a ratio to its lowest form.