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Multiplying and Dividing Rational Numbers

Grade 12 math worksheet on multiplying and dividing rational numbers, including complex fractions and rational expressions.

Grade 12 Math Number SenseMultiplying and Dividing Rational Numbers
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

rational numbersmultiplicationdivisionalgebragrade 12
7 sections · Free to use · Printable
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Multiplying and Dividing Rational Numbers

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Date:

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Carefully read each question and provide your answer in the space provided. Show all your work for full credit.

1. To multiply two rational numbers, you multiply the numerators and multiply the  .

2. To divide by a rational number, you multiply by its  .

3. A rational number can be expressed as a   of two integers, where the denominator is not zero.

1. Simplify the product: ( -5/6 ) * ( 9/10 )

2. Multiply and simplify: ( 3x / 4y ) * ( 8y^2 / 9x^2 )

1. Simplify the quotient: ( 7/12 ) ÷ ( -14/15 )

2. Divide and simplify: ( (x^2 - 4) / (x^2 + 5x + 6) ) ÷ ( (x - 2) / (x + 3) )

1. Which of the following is equivalent to ( 2/3 ) * ( -1/4 )?

a

1/6

b

-1/6

c

2/12

d

-2/12

1. The product of two rational numbers is always a rational number.

T

True

F

False