Ratio Calculator 4 Numbers

A B C D

Operation:

Factor k:

Resulting Ratio (A:B:C:D):

1. What is a Ratio Calculator?

Definition: This calculator manipulates ratios of four numbers (A:B:C:D) based on user-selected operations.

Purpose: It assists in simplifying ratios, converting them to specific forms, or scaling them for mathematical or real-world applications.

2. How Does the Calculator Work?

The calculator supports multiple operations:

Simplify: Divides all terms by their greatest common divisor (GCD).
To '1 : n : m : p': Scales so the first term is 1.
To 'n : 1 : m : p': Scales so the second term is 1.
To 'n : m : 1 : p': Scales so the third term is 1.
To 'n : m : p : 1': Scales so the fourth term is 1.
Larger/Smaller: Multiplies or divides all terms by a factor \( k \).
Equivalent: Generates a proportional ratio by multiplying by a factor.

3. Importance of Ratios

Details: Ratios are crucial in engineering, finance, and design for proportion analysis and scaling.

4. Using the Calculator

Tips: Enter four numbers (A, B, C, D) and select an operation. For scaling, provide a factor \( k \). Results are displayed as a ratio.

What if one of the numbers is zero?

If a number is zero, certain operations (e.g., converting to '1 : n : m : p') may not work as expected. The calculator will attempt to proceed where possible.

Can I use decimal numbers?

Yes, the calculator supports decimal inputs with step 0.01 precision.

What happens in the 'Equivalent' operation?

It multiplies the ratio by a random factor (2 to 5) to generate a proportional ratio.

Why is the factor k optional?

The \( k \) value is only required for 'larger' or 'smaller' operations; other operations use default or calculated values.

How is simplification done?

The calculator uses the greatest common divisor (GCD) to reduce the ratio to its simplest form.

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