Multiplying and Dividing Rational Numbers
A Grade 11 math worksheet focusing on multiplication and division of rational numbers, including simplifying expressions and solving word problems.
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Multiplying and Dividing Rational Numbers
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Read each question carefully and show all your work. Simplify all answers to their lowest terms.
1. Multiply the following rational numbers. Simplify your answer.
a) (3/4) * (-8/9)
b) (-5/6) * (-12/25)
c) (2x/3y) * (9y^2/4x^2)
2. Divide the following rational numbers. Simplify your answer.
a) (7/10) ÷ (14/15)
b) (-9/16) ÷ (3/8)
c) (a^2b/5c) ÷ (ab^2/10c^2)
3. Complete the following statements.
a) To divide by a rational number, you multiply by its .
b) The product of two rational numbers with different signs is always .
c) The reciprocal of a/b is .
4. Which of the following expressions is equivalent to (x^2-4)/(x+2)?
x - 2
x + 2
1/(x-2)
1/(x+2)
5. A recipe calls for 2/3 cup of flour. If you want to make 1 and 1/2 times the recipe, how much flour do you need?