1. What is Ratio?

A ratio is a mathematical relationship between two numbers showing how many times the first number contains the second. It is a dimensionless quantity that compares two quantities of the same unit.

2. How Does the Calculator Work?

The calculator uses the basic ratio formula:

Where:

• \( Numerator \) — The number being divided (top number)
• \( Denominator \) — The number dividing the numerator (bottom number)

Explanation: The ratio represents how many times the denominator fits into the numerator. It is always expressed as a dimensionless number.

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, finance, and everyday life. They are used for comparisons, proportions, scaling, and understanding relationships between quantities.

4. Using the Calculator

Tips: Enter both numerator and denominator values. The denominator must be greater than zero. Both values should be in the same units for accurate ratio calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a ratio used for?
A: Ratios are used to compare quantities, determine proportions, calculate rates, and solve problems involving scaling and relationships between numbers.

Q2: Can the ratio be greater than 1?
A: Yes, when the numerator is larger than the denominator, the ratio is greater than 1. When the numerator is smaller, the ratio is less than 1.

Q3: What is the difference between ratio and fraction?
A: While mathematically similar, ratios typically compare two different quantities, while fractions represent parts of a whole. Ratios are often simplified differently than fractions.

Q4: How do I simplify a ratio?
A: Divide both numerator and denominator by their greatest common divisor (GCD) to simplify the ratio to its simplest form.

Q5: Can ratios have units?
A: Ratios are typically dimensionless when comparing similar units. However, when comparing different units (like km/h), the ratio carries units and is called a rate.