1. What is Equivalent Ratio?

An equivalent ratio is obtained by multiplying both terms of a ratio by the same non-zero number. It represents the same relationship between quantities as the original ratio.

2. How Does the Calculator Work?

The calculator uses the equivalent ratio formula:

Where:

• \( Ratio \) — Original ratio value (unitless)
• \( Factor \) — Multiplication factor (unitless)

Explanation: The calculator multiplies the given ratio by the specified factor to find an equivalent ratio that maintains the same proportion.

3. Importance of Equivalent Ratios

Details: Equivalent ratios are fundamental in scaling recipes, creating scale models, mixing solutions, and solving proportion problems in mathematics and real-world applications.

4. Using the Calculator

Tips: Enter the original ratio and the multiplication factor. Both values must be positive numbers. The result will be the equivalent ratio.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ratio and equivalent ratio?
A: A ratio compares two quantities, while equivalent ratios are different expressions of the same comparison.

Q2: Can the factor be less than 1?
A: Yes, factors less than 1 will produce a reduced equivalent ratio (scaling down).

Q3: Are 2:3 and 4:6 equivalent ratios?
A: Yes, because 4:6 can be obtained by multiplying both terms of 2:3 by 2.

Q4: How are equivalent ratios used in real life?
A: They're used in cooking (scaling recipes), construction (blueprints), and chemistry (solution concentrations).

Q5: Can equivalent ratios have decimals?
A: Yes, equivalent ratios can have decimal values, though they're often simplified to whole numbers when possible.