# Multiply & Divide Algebraic Fractions Worksheets

How to Multiply and Divide Algebraic Fractions - A fraction that has an algebraic expression as a numerator or a denominator or both is what we term as algebraic fractions. Multiplying and dividing simple fractions is simple, but with variables in it, multiplication or division of algebraic fractions might pose a challenge for students. You need to know the rule when multiplying algebraic fractions. You have to multiply the numerators and multiply the denominators just as you do in simple fractions. a/b × c/d = ac/bd. The next thing you need to understand is the step of reducing. It is when a numerator has a divisor that is common with any denominator of the fractions being multiplied, it can be canceled out. a/b × c/d × e/a = ce/bd. Dividing two fractions is termed as complex fractions. A complex fraction looks like; (a/b) / (c/d) We can simplify the complex fraction by applying the definition of division. It is given by; a/b=a.1/b. The complex fraction can be simplified as; (a/b) / (c/d) = a/b.d/c.

• ### Basic Lesson

Demonstrates general rules of multiplying & dividing algebraic fractions. Flip the second fraction to allow for multiplication.

• ### Intermediate Lesson

Explores how to tackle problems that include both division and multiplication with algebraic fractions.

• ### Independent Practice 1

Contains 20 Multiply & Divide Algebraic Fractions problems. The answers can be found below. Multiply and divide the algebraic fractions.

• ### Independent Practice 2

Features another 20 Multiply & Divide Algebraic Fractions problems.

• ### Homework Worksheet

Multiply & Divide Algebraic Fractions problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Multiply & Divide Algebraic Fractions problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Sue's Serious Sugar Problem

Sue bought some bulk sugar for \$2.16. Had the sugar been 1 cent a lb. less, she could have received 3 lbs. more for the same price. How many pounds did she buy? 1) 216 = 2x2x2x3x3x3 2) 216 = 9x24 3) 216 = 8 x 27 So, Sue bought 9 lbs of sugar