Learn Updated 2026-03-01 UTC

Ratio Calculator — Simplify and Compare Ratios

Learn ratio simplification and comparison using GetCalcMaster. Includes scaling, unit checks, and common pitfalls.

Ratios show relative quantities (like 3:2). This guide explains simplifying ratios, scaling them, and checking units so ratios stay meaningful.

Open General Calculator Use Notebook Guides

Important: Educational use only. Ratios can be misleading when units differ—always confirm the quantities are comparable.

What this calculator is

The General Calculator is an interactive tool inside GetCalcMaster. It’s designed to help you explore scenarios, understand formulas, and document assumptions.

Key features

Simplify by dividing both sides by a common factor
Scale ratios to match a target quantity
Keep units consistent to avoid nonsense comparisons

Formula

Equivalent ratios: a:b = c:d  ⇔  a·d = b·c
Scaling: (a:b)×k = (a·k):(b·k)

Quick examples

12:18 simplifies to 2:3
3:5 scaled to total 64 → 24 and 40
If a:b = 4:7 and a=20 → b = 35

Verification tips

Use cross‑multiplication to verify equality (a·d = b·c).
Simplify ratios by dividing both parts by gcd.
For “parts of a whole”, ensure the parts add up to the stated total.

Common mistakes

Treating a ratio (unitless) as a rate (with units like km/h).
Flipping order accidentally (a:b is not the same as b:a).
Scaling only one side of the ratio.

How to use it (quick steps)

Enter your arithmetic expression.
Use parentheses and standard operators to reflect order of operations.
Evaluate and verify by checking with an alternate approach (mental math or rearrangement).
Save the final expression and notes in Notebook if you need a reproducible record.