For nonzero denominators, exactly when . For positive denominators, exactly when . This compares fractions with exact integer arithmetic, avoiding rounding from floating-point arithmetic.
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Cross-multiplication is a mathematical technique used primarily to solve equations involving fractions. It allows you to eliminate the fractions by multiplying each side of the equation by the denominators of the fractions involved. This is commonly used when dealing with proportions, which are equations that state two ratios are equal.