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.
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