1. What is Equivalent Ratio?

Equivalent ratios are ratios that express the same relationship between numbers. They are obtained by multiplying or dividing both terms of a ratio by the same number.

2. How Does the Calculator Work?

The calculator uses the equivalent ratio formula:

Where:

• \( r1 \) — First ratio term
• \( r2 \) — Second ratio term
• \( a \) — Known value in equivalent ratio
• \( b \) — Value to be calculated

Explanation: The formula solves for the unknown value (b) in the equivalent ratio by cross-multiplication.

3. Importance of Equivalent Ratios

Details: Equivalent ratios are fundamental in scaling recipes, creating scale models, mixing chemicals, and solving proportion problems in mathematics.

4. Using the Calculator

Tips: Enter three known values (r1, r2, and either a or b) to calculate the missing value. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between equivalent ratios and equal ratios?
A: Equivalent ratios express the same proportional relationship, while equal ratios have identical numerator and denominator values.

Q2: Can equivalent ratios have different units?
A: Yes, as long as the units within each ratio are consistent (e.g., 1cm:1m is equivalent to 10cm:10m).

Q3: How are equivalent ratios used in real life?
A: They're used in cooking (scaling recipes), construction (blueprint scaling), and finance (currency conversion).

Q4: What's the simplest form of a ratio?
A: The form where both terms have no common divisor other than 1 (like simplifying fractions).

Q5: Can ratios be equivalent if one is increased and the other decreased?
A: No, equivalent ratios maintain the same multiplicative relationship between terms.