Math

Ratio Calculator

Simplify a ratio to its lowest terms, or solve a proportion a : b = c : d for the missing value. Results include the decimal value and each part's share of the whole.

Last updated

Only used when solving a proportion a : b = c : d.

Results

Simplified ratio
16 : 9
Decimal value(First / second)
1.7778
As n : 1
1.78 : 1
First part share(16 of 25 parts)
64%
Second part share(9 of 25 parts)
36%

Reading a ratio

A ratio compares two amounts using the same unit. The order matters: 2 : 3 is not the same as 3 : 2. Simplifying a ratio keeps that relationship while using the smallest whole numbers, which makes it easier to read and compare against other ratios.

Ratios, parts and percentages

Adding the parts of a ratio gives the total number of parts. Each side's share of that total can be written as a fraction or a percentage, which is useful for splitting a bill, mixing a recipe or dividing profits in proportion to each contribution.

Worked example

Suppose you want to simplify the ratio 16 : 9, the common widescreen aspect ratio.

  1. 1.Greatest common divisor of 16 and 91
  2. 2.Simplified ratio (16 / 1 : 9 / 1)16 : 9
  3. 3.Decimal value (16 / 9)1.7778
  4. 4.As n : 11.78 : 1
  5. 5.First part's share (16 / 25)64%

Result: 16 : 9 is already in lowest terms. As a decimal that is about 1.7778, or 1.78 to 1, and the first part makes up 64% of the total.

Frequently asked questions

CalculatorKingdom

Free, fast and accurate calculators for finance, health, math and everyday life.

Finance

Loan, mortgage, interest and tax calculators to plan payments, compare options and understand the true cost of borrowing.

Marketing

Advertising and campaign calculators to price impressions, clicks and conversions and measure return on ad spend.

Health

Body and nutrition calculators to track BMI, estimate calorie needs and support your fitness goals.

Math

Everyday math helpers for percentages, ratios and quick calculations you can trust.

Education

Exam and grade calculators to predict AP scores, work out the marks you need and plan your studies.

Everyday

Practical day-to-day calculators for tipping, splitting bills and working out ages.

Home & Garden

Project calculators for home and yard work: measure rooms and areas, estimate paint, and order the right amount of mulch or topsoil.

Conversions

Unit converters that turn one measurement into another quickly and accurately.

© 2026 CalculatorKingdom. Results are estimates for general information only.