1. What is the Fraction Equation Solver?

This calculator solves for any one variable in the proportion equation (x/y) = (z/w). It's useful for solving proportional relationships in mathematics, chemistry, physics, and engineering problems.

2. How Does the Calculator Work?

The calculator uses the cross-multiplication principle:

Where:

• \( x \) — First numerator (unitless)
• \( y \) — First denominator (unitless)
• \( z \) — Second numerator (unitless)
• \( w \) — Second denominator (unitless)

Explanation: The equation represents a proportion where two fractions are equal. The product of the means equals the product of the extremes.

3. Solving Fraction Equations

Details: To solve for any variable, leave its field empty and fill in the other three. The calculator will compute the missing value using cross-multiplication.

4. Using the Calculator

Tips: Enter any three known values and leave one field empty to solve for that variable. All values must be numeric (can be decimals).

5. Frequently Asked Questions (FAQ)

Q1: What if I get a division by zero error?
A: This occurs when you try to solve for a variable that would require division by zero in the equation. Check your input values.

Q2: Can I use this for unit conversions?
A: Yes, this is excellent for unit conversion problems where you know the conversion factor as a ratio.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places. For exact fractions, manual calculation may be needed.

Q4: Can I solve for more than one variable?
A: No, the calculator can only solve for one missing variable at a time. You need to know three of the four values.

Q5: Does this work for complex fractions?
A: This calculator handles simple proportions. For complex fractions with addition/subtraction, other methods are needed.