10
practice testMultiple Choice

Practice Test

Question 10 • Mathematics III

What is the quotient? the fraction with numerator 3 y plus 2 and denominator 3 y divided by the fraction with numerator 6 y squared plus 4 y and denominator 3 y plus 2

Answer
A
the fraction with numerator 2 times open paren 3 y plus 2 close paren and denominator 3
B
1 over y
C
the fraction with numerator 3 y plus 2 and denominator 6 y squared
D
1 over 2 y

Explanation

Divide by a fraction by multiplying by its reciprocal: ((3y + 2)/(3y)) × ((3y + 2)/(6y² + 4y)). Factor 6y² + 4y as 2y(3y + 2), then cancel a common factor of 3y + 2. The result is (3y + 2)/(6y²), choice D.

AI-written and checked against the verified answer.

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