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First part of ratio
Second part of ratio
Total to split in ratio (leave 0 to skip)
Simplified Ratio
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In simplest form
Part 1
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Value of first part
Part 2
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Value of second part

Ratio Calculation

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What Is a Ratio Calculator?

A Ratio Calculator simplifies ratios to their lowest terms and can split a total amount proportionally according to a given ratio. It shows the GCD (Greatest Common Divisor) and step-by-step calculations.

Ratios are fundamental in mathematics and real-life applications. This calculator helps you simplify ratios, understand proportional relationships, and divide amounts fairly according to specified ratios.

Ratio Formulas

Simplified Ratio = Value1/GCD : Value2/GCD
Part 1 = (Ratio1 / Sum) Ɨ Total
Part 2 = (Ratio2 / Sum) Ɨ Total
GCD = Greatest Common DivisorSimplified = Lowest termsSplit = Proportional division

Frequently Asked Questions

How to simplify a ratio?
Divide both numbers by their Greatest Common Divisor (GCD). For example, 4:6 → GCD is 2 → 4/2 : 6/2 = 2:3. The simplified ratio is 2:3.
How to split a total in a ratio?
Add the ratio parts, then divide the total proportionally. For example, split 100 in ratio 2:3: Sum = 2+3 = 5. Part 1 = (2/5) Ɨ 100 = 40. Part 2 = (3/5) Ɨ 100 = 60.
What is the difference between ratio and proportion?
A ratio compares two quantities (e.g., 2:3). A proportion is an equation stating two ratios are equal (e.g., 2:3 = 4:6). Ratios show relative sizes; proportions show equality between ratios.
How to find the missing value in a ratio?
If a:b = c:d, then aƗd = bƗc. For example, if 2:3 = x:15, then 2Ɨ15 = 3Ɨx, so x = 30/3 = 10.
Where are ratios used in real life?
Ratios are used in cooking (ingredient proportions), business (profit margins, debt-to-equity), finance (P/E ratios), maps (scale), mixing (concrete, paint), and many other applications.

Found This Useful?

Simplify ratios and split amounts easily.