The LessonAlgebraic fractions can be divided. Imagine you wanted to divide a⁄b by c⁄d.
How to Divide Algebraic FractionsTo divide algebraic fractions, use the rule:
A Real Example of How to Divide Algebraic Fractions
QuestionDivide the algebraic fractions below.
Compare the fractions you are dividing 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)(3) = x × 3 = 3x
(2)(y) = 2 × y = 2y
Answer:We have divided x⁄2 by y⁄3:
Lesson SlidesThe slider below shows a real example of how to divide algebraic fractions.
Understanding The RuleDividing fractions requires:
- replacing the divisor (the fraction you are dividing by) with its reciprocal...
- ... and replacing the division with a multiplication:
- multiplying the numerators together to form the numerator of the product...
- ... and multiplying the denominators together to form the denominator of the product: