How do you split a total amount by a ratio?

Add all ratio parts to get the total parts. Divide the total amount by total parts to get one part. Multiply each ratio number by one part. Example: Split $500 in ratio 2:3. Total parts = 5. One part = $500÷5 = $100. Part 1 = 2×$100 = $200. Part 2 = 3×$100 = $300.

How do you convert a ratio to a percentage?

Divide the first number by the sum of all parts, then multiply by 100. For ratio 3:7: Total parts = 10. First part = 3÷10×100 = 30%. Second part = 7÷10×100 = 70%.

What is the difference between ratio and proportion?

A ratio compares two quantities (e.g., 3:4 means 3 for every 4). A proportion states that two ratios are equal (e.g., 3:4 = 6:8). Proportions are used to find missing values when one ratio is known and you need to scale it.

Ratio Calculator – Simplify Ratios, Solve Proportions & Convert to %

Ratio Calculator – Simplify Ratios, Solve Proportions & Convert to % | CalcVelo

Simplify a Ratio

Enter a ratio to reduce it to its lowest terms

Presets:

How to Use This Ratio Calculator

This free Ratio Calculator has 4 modes to cover every ratio problem you'll encounter:

Simplify: Reduce A:B or A:B:C to lowest terms using GCD — works for decimals too
Solve/Scale: Find a missing value in A:B = C:? or ?:B = C:D proportions
Split Total: Divide any amount into parts by ratio — great for recipes, money, ingredients
To Percentage: Convert any ratio into percentage form with fraction equivalents

Simplify Ratio Formula (GCD Method)

Simplified Ratio = A÷GCD(A,B) : B÷GCD(A,B)
Example: 12:8 → GCD=4 → 3:2

Solve Missing Proportion

A:B = C:D → D = (B × C) ÷ A
Example: 3:4 = 9:? → D = (4×9)÷3 = 12

Split Total by Ratio

One Part = Total ÷ (A+B) → Part A = ratio_A × One Part
Example: $500 in 2:3 → One part=$100 → A=$200, B=$300

Real-World Ratio Examples

Recipe scaling: Recipe calls for flour:sugar = 3:1. Scale to 900g flour → sugar = 300g
Concrete mix: Cement:Sand:Gravel = 1:2:4 — classic 3-part ratio
Screen aspect ratio: 1920:1080 simplifies to 16:9
Map scale: 1:50000 means 1cm on map = 50000cm (500m) in reality
Paint mixing: Base:Tint = 4:1 — for every 4 parts base, 1 part tint

Simplify Ratio Calculator — How GCD Works

The simplify ratio calculator uses the Greatest Common Divisor (GCD) — also called Greatest Common Factor (GCF) — to reduce ratios to their lowest terms. The Euclidean algorithm finds the GCD by repeatedly dividing until the remainder is zero. Both 2-part (A:B) and 3-part (A:B:C) ratios are supported, including decimal inputs.

Aspect Ratio Calculator

Use the Simplify mode to find any aspect ratio in lowest terms. Common examples:

1920:1080 simplifies to 16:9 (standard HD/Full HD)
2560:1440 simplifies to 16:9 (2K/QHD)
3840:2160 simplifies to 16:9 (4K UHD)
1024:768 simplifies to 4:3 (old standard)
2:1 is already in lowest terms (cinematic ratio)

Ratio to Percentage Converter

Convert any ratio directly to percentage using Mode 4. This is useful for understanding what share of a total each part represents — perfect for budget splits, ingredient percentages, and data analysis. The tool also shows the equivalent fraction for each part.

When to Use Each Mode

Simplify: Reduce a ratio to its simplest form — aspect ratios, ingredient ratios, map scales
Solve / Scale: Find the missing value in a proportion — recipe scaling, map distances, model sizing
Split Total: Divide money, materials, or ingredients by ratio — profit sharing, concrete mixing, paint
To Percentage: Convert ratio parts to % — budget analysis, ingredient percentages, data charts

Related Calculators

Also check our Fraction Calculator, Percentage Calculator, Midpoint Calculator, and all Math Calculators on CalcVelo.

Frequently Asked Questions

How do you simplify a ratio? ▼

How do you solve a missing value in a proportion? ▼

How do you split a total by a ratio? ▼

How do you convert a ratio to percentage? ▼

What is a 3-part ratio? ▼

What is the aspect ratio 16:9? ▼

How do you simplify a ratio with decimals? ▼

What is ratio used for in real life? ▼