cross-multiplying
Solving proportions diagonally
Cross-multiplying is a technique for solving equations with fractions on both sides.
You multiply each numerator by the opposite denominator, creating an equation without fractions: if a/b = c/d, then ad = bc.
Cross-multiplying gives us 3x = 24, so x = 8.
The method also compares fractions: cross-multiply to see which product is larger.
Parts expressed numerically
- equationsMathematical equality statements
- numeratorNumber being divided
- denominatorFraction's bottom number
- proportionsRelative amounts or dimensions
ratios · solving · simplifying · equivalence · algebra · isolating · variables · canceling
Act of verification
- proportionalityScaling relationship between quantities
- validatingConfirming truth or accuracy
- equivalent fractionsFractions representing identical quantities
- proofDemonstration of truth
confirmation · scale factor · correspondence · matching · consistency · accuracy · correctness
fractions
Parts expressed numerically
- equationsMathematical equality statements
- numeratorNumber being divided
- denominatorFraction's bottom number
proportions · ratios · solving · simplifying · equivalence · algebra · isolating · variables · canceling · reciprocal
checking
Act of verification
- proportionalityScaling relationship between quantities
- validatingConfirming truth or accuracy
- equivalent fractionsFractions representing identical quantities
proof · confirmation · scale factor · correspondence · matching · consistency · accuracy · correctness
- math operationsaddition, adding, subtraction, subtracting, division
- algebravariables, equations, equation, polynomials, algebraic equations
cross, multiply, crosses, crossed, crossing, crosser, multiplies, multiplied, multiplier