Answer :
Final answer:
Multiplying the fractions (-9/6) and (-3/5) results in 27/30, which simplifies to 9/10 after dividing both numerator and denominator by 3. The correct option is B.
Explanation:
The question involves multiplying fractions and simplifying them to their lowest terms. To find the product of the two fractions (-9/6) and (-3/5), you multiply their numerators and denominators separately. Since a negative times a negative equals a positive, the product of -9 and -3 is 27. Similarly, the product of 6 and 5 is 30. Thus, the multiplication of the two given fractions is 27 over 30 (27/30).
However, to simplify this fraction to its lowest terms, both the numerator and the denominator can be divided by their greatest common divisor, which is 3. When you divide both 27 and 30 by 3, you get 9/10. So, the simplified form of the fraction is 9/10, which is option B) 27/30.
