Calculator.org.in
Calculator

Ratio Calculator

Simplify a two-part ratio and convert it to decimal, percent, and share-of-total views.

  • ratio simplifier
  • simplify ratio calculator
  • proportion ratio calculator

Status: initial

Results

Awaiting calculation

150 compared with 100

Simplified ratio: 3:2

The first value is 1.5 times the second, or 150% of it. It represents 60.00% of the combined total.

Equivalent ratio forms
Decimal value0.75
Percentage value75%

Apply the simplified ratio

  1. 1Keep the original order because reversing the values produces a different comparison.
  2. 2Scale both simplified parts by the same multiplier to create an equivalent ratio.
  3. 3Use the part-split table for shares of the total; use the percentage result for first divided by second.

Convert both quantities to the same unit before simplifying, and distinguish percent-of-second from share-of-total.

Ratio guide

Ratio Calculator for quick, reliable checks

Simplify a two-part ratio and convert it to decimal, percent, and share-of-total views. Alongside the simplified a:b form, the outputs show each side as a share of the total so the same comparison can be interpreted as fractions, decimals, or percentages.

When to use this ratio calculator

Use it for recipes, scale drawings, classroom math, comparison metrics, and proportional planning. Normalize quantities to the same unit before comparing them; a ratio between centimetres and metres is not meaningful until one side is converted.

How the calculation works

Simplified ratio = first value ÷ greatest common divisor : second value ÷ greatest common divisor. Dividing both whole-number terms by their greatest common divisor preserves the comparison while producing the smallest equivalent integer ratio.

Variable explanations

Understand what each input and result means before calculating.

First value

Enter first value carefully because this value directly affects the result.

Second value

Enter second value carefully because this value directly affects the result.

Greatest common divisor

Enter greatest common divisor carefully because this value directly affects the result.

Total parts

Enter total parts carefully because this value directly affects the result.

Reviewed by the Calculator.org.in Editorial Team

Formula behavior, validation cases, explanatory examples, and cited sources are checked before publication. This review supports educational accuracy and is not a substitute for qualified professional advice.

Last reviewed: 2026-08-25

Review process

Formula guide

See the calculation logic, variable definitions, and practical meaning.

Ratio Calculator

Simplified ratio = first value ÷ greatest common divisor : second value ÷ greatest common divisor.

  • First value
  • Second value
  • Greatest common divisor
  • Total parts

The calculator keeps the computation visible through labeled inputs, a primary result, and supporting checks so users can verify the answer before applying it.

Worked examples

Follow realistic inputs through the calculation step by step.

1

Worked example

Simplify 150:100

  1. 1Enter 150 and 100.
  2. 2The greatest common divisor is 50.
  3. 3The simplified ratio is 3:2.
2

Worked example

Simplify a recipe ratio

  1. 1Enter 6 cups flour and 4 cups liquid.
  2. 2The greatest common divisor is 2.
  3. 3The simplified ratio is 3:2, with flour representing 60% of the total parts.
3

Worked example

Compare quantities with different units

  1. 1Convert 1.5 metres to 150 centimetres before comparing it with 100 centimetres.
  2. 2Enter 150 and 100.
  3. 3The simplified ratio is 3:2.

Common mistakes

Avoid these common input and interpretation errors.

Using rounded values too early

Review this point before using the result in coursework, planning, purchasing, or documentation.

Mixing units before simplifying

Review this point before using the result in coursework, planning, purchasing, or documentation.

Confusing a ratio with a percentage of the total

Review this point before using the result in coursework, planning, purchasing, or documentation.

Frequently asked questions

Quick answers to the questions users ask most often.

Can this calculator simplify decimals?
This version is intended for whole-number ratios. Convert decimals to the same smallest unit first.
Is a ratio the same as a proportion?
A ratio compares two quantities. A proportion states that two ratios are equal.
Can both sides of a ratio be zero?
No. A 0:0 comparison has no defined scale and cannot be simplified into a meaningful equivalent ratio.
Does reversing a ratio change its meaning?
Yes. A ratio of 3:2 compares the first quantity with the second; reversing the order gives 2:3 and answers the opposite comparison.
How do I scale a simplified ratio?
Multiply both terms by the same scale factor. For example, 3:2 multiplied by 4 becomes the equivalent ratio 12:8.

References

Sources used to support the calculator guidance.

Related calculators

Continue with calculators that solve nearby problems.

Browse all math calculators

Version history

A transparent record of calculator content updates.

Updated 2026-08-25
  • 1.1.0 · 2026-08-25

    Added a result-aware simplified ratio, decimal and percentage comparison, share-of-total context, and equivalent-ratio guidance.

  • 1.0.0 · 2026-08-03

    Initial calculator release with formula tests and SEO-ready content.