The Lesson
Algebraic fractions can be multiplied. Imagine you wanted to multiply a⁄b and c⁄d.How to Multiply Algebraic Fractions
To multiply algebraic fractions, use the rule:A Real Example of How to Multiply Algebraic Fractions
Question
Multiply the algebraic fractions below.Step-by-Step:
1
Compare the fractions you are multiplying with the rule shown above.
By comparing, we see that a = x, b = 2, c = y, d = 3.
2
Use the rule, with a = x, b = 2, c = y, d = 3:
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:Understanding The Rule
Multiplying 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: