Ratio Calculator

Enter two values below to simplify their ratio and view detailed statistics.

First Value (A)

Second Value (B)

Simplified Ratio

2:3

Original: 8:12

Greatest Common Divisor

4

As Decimal (A÷B)

0.6667

A’s Percentage

40.00%

Ratio Breakdown

• For every 2 units of A, there are 3 units of B.
• Value A represents 40.00% of the total (A + B).
• Value B represents 60.00% of the total (A + B).

What is a Ratio Calculator?

A Ratio Calculator is a mathematical tool designed to simplify ratios, solve for missing values in proportions, and resize geometric dimensions while maintaining aspect ratios. A ratio compares two or more quantities, usually written as A : B (e.g., 16:9 for screen resolution).

At Nexli Calculator, our tool helps graphic designers, chefs, and students instantly solve problems like “If 2 cups of flour make 5 cookies, how many cups for 20 cookies?” or simplifying complex numbers like 120:360 into their smallest form.

Why Use Our Ratio Calculator?

✓

Solve Proportions Instantly

Quickly find the value of ‘x’ in any proportion equation (A/B = C/x) without manual cross-multiplication.

✓

Automatic Simplification

Enter large numbers like 1920:1080, and the tool immediately reduces them to their simplest form (16:9).

✓

Scale Images & Recipes

Perfect for scaling up cooking ingredients or resizing digital images without distorting them.

✓

Completely Free

Nexli Calculator offers this utility 100% free with no registration or download required.

Ratio Formulas & Logic

Our calculator uses fundamental algebraic rules to solve for unknowns and simplify values. Here is the math behind it:

Solving for X

Based on the rule: If A : B = C : D

A / B = C / D
Cross Multiply: A × D = B × C
Solve for D: D = (B × C) / A

Simplifying Ratios

Reducing terms to simplest form.

Find the Greatest Common Divisor (GCD) of A and B.
New A = A / GCD
New B = B / GCD
Example: 10:20 (GCD is 10) → 1:2

How to Use Our Ratio Calculator

1

Select Mode

Choose “Simplify” to reduce a ratio, or “Solve for Missing Value” to find an unknown in a proportion.
2

Enter Values

Input your known numbers (A and B). If solving for a proportion, enter the third known value (C).
3

Calculate

Click the button to see the result. The tool will display the simplified ratio or the calculated missing value.

Frequently Asked Questions (FAQ)

What is the difference between a Ratio and a Fraction? ▼

While they look similar, a ratio (1:2) compares two quantities (part-to-part), whereas a fraction (1/2) usually represents a part of a whole. However, mathematically, they often function similarly.

How do I solve a proportion manually? ▼

To solve A/B = C/x, use cross-multiplication: Multiply diagonals (B times C), then divide by the remaining number (A). So, x = (B × C) / A.

What is the “Golden Ratio”? ▼

The Golden Ratio is a special mathematical ratio, approximately equal to 1.618, often denoted by the Greek letter Phi. It is found in nature and art and is considered aesthetically pleasing.

How do I resize an image using ratios? ▼

To resize without distortion, you must maintain the aspect ratio (Width:Height). Enter your original width and height, then enter your desired new width to calculate the correct new height.

What is a “Part-to-Whole” ratio? ▼

A part-to-whole ratio compares a specific group to the total. For example, in a class of 10 boys and 10 girls (20 total), the ratio of boys to the total class is 10:20 (or 1:2).

Is the Nexli Ratio Calculator free? ▼

Yes, the Nexli Ratio Calculator is completely free to use for any academic or professional purpose.