Ratio Calculator | Simplify Ratios, Solve Proportions & Split Values

Ratio Calculator Simplify ratios, solve missing values, split totals and compare proportions without doing the math by hand

Simplify ratio

Reduce to lowest terms

Solve missing value

Complete the proportion

Split total

Divide by ratio

Compare ratios

See if two ratios match

What this does It reduces ratios, solves proportions and turns ratio relationships into usable numbers.

Best use Use it for recipes, scaling, allocations, probability style comparisons and proportional math.

Important Ratios can look different but still be equivalent if they reduce to the same proportional relationship.

Section 1: Enter the ratio to simplify

First value

Any positive or negative integer value.

Second value

The value you want to compare against the first.

Section 1: Solve the missing value in a proportion

Value A

Value B

Solve C when B maps to C

This solves the value that keeps the same proportion, using A:B = ?:C.

Section 1: Split a total by ratio

Total amount

The full amount to divide.

Ratio part A

First share of the ratio.

Ratio part B

Second share of the ratio.

Section 1: Compare two ratios

First ratio

The base ratio you want to test.

Second ratio

Compared against the first ratio.

Main result

—

primary answer

Reduced form

—

simplified ratio

Decimal form

—

division result

Status

—

interpretation

Ratio relationship

First part

Second part

Ratio summary

Case	Result	Meaning	Status

Ratio summary

Mode used—

Input—

Equivalent form—

Special detail—

Main result—

Reduced form—

Decimal form—

Status—

Plain answer—

✦ Cal, AI Ratio Analysis

Cal is analysing your ratio result...

💬 Ask Cal about this ratio

Cal

Your ratio result is ready. Ask me whether two ratios are equivalent, how the split was calculated, or what the simplified ratio really means.

What a ratio calculator actually tells you

A ratio calculator shows the relationship between two or more values. It can reduce a ratio to its lowest terms, solve a missing value in a proportion, split a total into ratio-based shares, or check whether two ratios describe the same relationship.

This matters because ratios appear everywhere, from recipes and finance to scaling, maps, prices, inventory mixes and data comparison. Once the relationship is reduced correctly, it becomes much easier to compare, scale and explain.

The core formula

Simplified ratio = A:GCD(A,B) : B:GCD(A,B)
Equivalent ratios keep the same division result
Missing ratio value = (Known value × Corresponding ratio part) ÷ Other ratio part
Split by ratio = Total × (Part ÷ Sum of all parts)

GCD means greatest common divisor. It is the largest whole number that divides both values exactly when simplifying a ratio.

How to read the result

Mode	What it answers	Best use	Common mistake
Simplify	What is the ratio in lowest terms?	Clean comparison	Not dividing both sides by the same factor
Missing value	What number keeps the same proportion?	Scaling and conversion	Cross-multiplying incorrectly
Split total	How much does each part get?	Budgets, sharing, allocation	Splitting equally instead of proportionally
Compare	Do two ratios match?	Equivalence checks	Comparing the raw numbers only

Why equivalent ratios can look different

Two ratios can use different numbers and still mean exactly the same thing. For example, 2:3 and 10:15 are equivalent because both describe the same proportion. The values are scaled, but the relationship stays unchanged.

That is why reduced form matters. It gives you the cleanest version of the relationship, making comparison easier and reducing the chance of mistaken interpretation.

Related Calculators

Percentage Calculator→ Percentage Change Calculator→ Average Calculator→ Weighted Average Calculator→ Unit Price Calculator→

Related Guides

Ratio vs Fraction vs Proportion→ How to Simplify Ratios→ How to Split Values by Ratio→

⚡ What usually changes the answer

Reducing both sides by the same factor changes the look of the ratio but not the relationship.
Equivalent ratios can use very different raw numbers and still mean the same thing.
Splitting totals by ratio is not the same as dividing equally.
Decimal forms help reveal whether two ratios are actually equivalent.
Very large values often become clearer once simplified.

Frequently Asked Questions

What is a ratio?+

A ratio compares one quantity to another. It shows how much of one thing exists relative to another thing. It is usually written in the form A:B.

How do you simplify a ratio?+

Divide both parts by the same greatest common divisor. For example, 24:36 simplifies to 2:3 after dividing both values by 12. This keeps the relationship the same while making it easier to read.

How can two ratios be equivalent if the numbers are different?+

Because equivalent ratios describe the same proportional relationship. For example, 2:3 and 10:15 are equivalent because both reduce to the same simplified form. The scale changes, but the underlying comparison does not.

How do I split a total amount by ratio?+

Add the ratio parts together, then give each part its share of the total based on its fraction of that sum. For example, splitting 1200 by 2:3 means dividing it into 5 total parts, then assigning 2 parts to the first side and 3 parts to the second.

What is the difference between ratio and proportion?+

A ratio is a comparison between quantities. A proportion is an equation showing that two ratios are equal. For example, 2:3 is a ratio, while 2:3 = 10:15 is a proportion.

When should I use decimal form as well as simplified ratio?+

Decimal form is useful when you want to check equivalence quickly or compare the size of one ratio against another. Simplified form is best for clean presentation, while decimal form is best for precise numeric comparison.