Ratio Calculator

by
Dynamic Ratio Calculator

Ratio Calculator

Inputs

Generates k×A : k×B
Split total in the ratio A:B
Live calculations — no submit needed

Results

Raw Ratio
3 : 5
Simplified Ratio
3 : 5
Decimal (A ÷ B)
0.6
Percentage (A/B × 100)
60%
Equivalent Ratio (× Scale)
6 : 10
With scale 2

Quick Table

k Ak Bk Ratio
Shows a few equivalent ratios for quick reference.
Tip: Drag sliders or type exact numbers — everything updates instantly.

Ratio Calculator Guide

What is it & Why use it?

Easily simplify, compare, and solve ratios for academic and business purposes. This tool is widely useful in academics, finance, and practical applications like cooking or mixing materials.

The Formula
Ratio a:b = a ÷ b
Simplified = (a/gcd) : (b/gcd)
Variables
a, b (numbers); gcd (greatest common divisor)
Simplifies Automatically
Example Calculation

Simplifying the ratio of 50 to 100:

Input A
50
Input B
100
Simplified Ratio
1 : 2
Divided both by 50 (GCD)
Benefits & Use Cases
Quick Simplify

Instantly reduce large ratio numbers to their simplest form.

Math & Business

Crucial for financial analysis, comparing shares, and analyzing statistics.

Conversions

Easily convert ratios into fractions or percentages for better understanding.

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Frequently Asked Questions
Q1: What is a ratio?

A ratio is a comparison of two quantities showing their relative sizes (e.g., 1:2).

Q2: How to simplify a ratio?

You divide both terms by their greatest common divisor (GCD) to find the smallest whole numbers.

Q3: Can ratios be written as fractions?

Yes, the ratio a:b is mathematically equivalent to the fraction a/b.

Q4: Where are ratios used?

They are commonly used in recipes, finance (ratios analysis), statistics, and everyday comparisons.

Authority Sources: Math is Fun • Khan Academy