Multiplying and Dividing Rational Expressions — Quiz
Question 4 • Mathematics III
Which expression is equivalent to the fraction with numerator 3 x and denominator x plus 1 divided by x plus 1 ?
Answer
A
the fraction with numerator x plus 1 and denominator 3 x times the fraction with numerator x plus 1 and denominator 1
B
the fraction with numerator 3 x and denominator x plus 1 divided by the fraction with numerator 1 and denominator x plus 1
C
the fraction with numerator x plus 1 and denominator 1 divided by the fraction with numerator 3 x and denominator x plus 1
D
the fraction with numerator 3 x and denominator x plus 1 times the fraction with numerator 1 and denominator x plus 1
Explanation
Dividing a fraction by x + 1 means multiplying it by the reciprocal, 1/(x + 1). So (3x/(x + 1)) ÷ (x + 1) = (3x/(x + 1)) × (1/(x + 1)), which is choice D.
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