cross-multiplication

Diagonal fraction arithmetic

Cross-multiplication is a method for solving equations involving two fractions set equal to each other.

You multiply the numerator of each fraction by the denominator of the other, then set those products equal: if a/b = c/d, then ad = bc.

The technique also compares fractions—whichever cross-product is larger indicates the larger fraction.

method

proportion

Comparative relation of parts

solve · numerator · denominator · equivalent · cancel · simplify · isolate · variable · product · equality

ratios

proportional

Scaled to match another

comparative · ratio · fraction · inverse · direct · constant · rate · comparison · conversion · unit

algebra

linear

Arranged in straight succession

unknown · terms · expression · substitution · elimination · systems · simultaneous · equations · inequality · rational

Categories
Opposites
mathematical operation type

cross-multiplicationdivision

Splitting into parts

addition · subtraction · basic operations · cross-division

equation-solving approach

cross-multiplicationtrial and error

Learning through repeated attempts

guess and check · algebraic manipulation

mathematical complexity/technique level

cross-multiplicationmental math

Numerical computation done internally

advanced calculus · algebraic manipulation

Family

cross, multiply, multiplication, crossed, crossing, crosses, crosswise, multiplied, multiplies

Familiarity
Top 200,000
Profile
Known to kids · Used worldwide · Timeless · Rated G