Cross Multiplication Formula:
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Cross multiplication is a method for solving proportions or checking whether two fractions are equal. It involves multiplying the numerator of one fraction by the denominator of the other fraction.
The calculator uses the cross multiplication formula:
Where:
Explanation: The calculator multiplies a×d and b×c, then compares the two products to determine if the fractions are proportional.
Details: Cross multiplication is used for solving proportions in algebra, checking equivalent fractions, solving ratio problems, and in various real-world applications like scaling recipes or calculating map distances.
Tips: Enter all four values (a, b, c, d) as numbers. Denominators (b and d) cannot be zero. The calculator will show whether the fractions are proportional and display the calculation steps.
Q1: What does it mean if a×d equals b×c?
A: It means the two fractions are equal (proportional). The equation \( \frac{a}{b} = \frac{c}{d} \) holds true.
Q2: Can I use this for fractions with variables?
A: This calculator works with numerical values. For variables, you would need to solve the equation algebraically.
Q3: What if one denominator is zero?
A: Division by zero is undefined, so the calculator will show an error if b or d is zero.
Q4: How precise are the calculations?
A: The calculator uses floating-point arithmetic with 4 decimal places of precision.
Q5: Can I use negative numbers?
A: Yes, the calculator works with both positive and negative numbers.