1. What is a Ratio?

A ratio is a quantitative relationship between two numbers showing how many times one value contains or is contained within the other. Ratios are unitless and express the relative magnitude of two quantities.

2. How to Calculate Ratio

The ratio between two numbers is calculated using the formula:

Where:

• \( a \) — Numerator (first quantity)
• \( b \) — Denominator (second quantity)
• \( r \) — Resulting ratio (unitless)

Explanation: The ratio represents how many times the numerator fits into the denominator. For example, a ratio of 2 means the first number is twice as large as the second.

3. Applications of Ratios

Details: Ratios are used in many fields including mathematics, finance (financial ratios), science (stoichiometry), engineering (gear ratios), and everyday life (recipe scaling).

4. Using the Calculator

Tips: Enter any two numbers to calculate their ratio. The denominator cannot be zero. Results are rounded to 4 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: Can the denominator be zero?
A: No, division by zero is undefined in mathematics. The denominator must be a non-zero value.

Q2: What does a ratio of 1 mean?
A: A ratio of 1 indicates that the two quantities are equal in value.

Q3: Can ratios be greater than 1?
A: Yes, ratios can be any positive number. Values >1 mean the numerator is larger, <1 means the denominator is larger.

Q4: How are ratios different from fractions?
A: While mathematically similar, ratios compare parts to parts, while fractions compare parts to wholes.

Q5: Can ratios be simplified?
A: Yes, ratios can often be simplified by dividing both numbers by their greatest common divisor (GCD).