Ratio Table Calculator

Enter a base ratio (a:b) and generate a complete table of equivalent ratios. See simplified form and proportional relationships at a glance.

First term of the ratio (a)

Second term of the ratio (b)

How many equivalent ratios to generate (2-30)

Equivalent Ratio = (A x n) : (B x n) for n = 1, 2, 3, ... | Simplified: divide both terms by GCD
For ratio 3:5 with 10 rows: 1x → 3:5, 2x → 6:10, 3x → 9:15, ... 10x → 30:50

What is a ratio table?

A ratio table shows equivalent ratios by multiplying or dividing both terms of a ratio by the same factor. For example, if the ratio is 2:3, the equivalent ratios are 4:6, 6:9, 8:12, etc. Ratio tables help visualize proportional relationships and are commonly used in math, cooking, and scaling.

How do I find equivalent ratios?

To find equivalent ratios, multiply or divide both terms of the original ratio by the same non-zero number. If the ratio is a:b, then equivalent ratios are (a×n):(b×n) for any positive number n. For example, 3:4 is equivalent to 6:8, 9:12, 12:16, and so on.

How do I simplify a ratio?

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 12:18 simplifies to 2:3 because GCD(12,18) = 6, so 12÷6 = 2 and 18÷6 = 3. Simplified ratios are easier to work with and compare.

Where are ratio tables used in real life?

Ratio tables are used in cooking (scaling recipes), map reading (scale ratios), currency conversion, mixing paint or chemicals, resizing images, calculating speed-distance-time, and many other proportional relationships. They help maintain the same relationship between quantities at different scales.