The LessonAlgebraic fractions can be multiplied. Imagine you wanted to multiply a⁄b and c⁄d.
How to Multiply Algebraic FractionsTo multiply algebraic fractions, use the rule:
A Real Example of How to Multiply Algebraic Fractions
QuestionMultiply the algebraic fractions below.
Compare the fractions you are multiplying with the rule shown above. By comparing, we see that a = x, b = 2, c = y, d = 3.
Use the rule, with a = x, b = 2, c = y, d = 3:
Calculate the terms in the rule. Where we have written two numbers or letters in brackets together, multiply them together:
(x)(y) = x × y = xy (2)(3) = 2 × 3 = 6
Answer:We have multiplied x⁄2 and y⁄3 together:
Lesson SlidesThe slider below shows a real example of how to multiply algebraic fractions. Open the slider in a new tab
Understanding The RuleMultiplying fractions requires:
- multiplying the numerators together to form the numerator of the product...
- ... and multiplying the denominators together to form the denominator of the product: