Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

multiply these fractions and select the simplified answer.\\(\\left(\\f…

Question

multiply these fractions and select the simplified answer.\\(\left(\frac{4y - 18}{3}\
ight)\left(\frac{6}{6y - 27}\
ight)\\)\
after you pick your answer press go.\
a. \\(\frac{2}{-2y + 9}\\)\
\
\
\
\
b. \\(\frac{4}{3}\\)\
\
\
\
\
c. \\(6y - 27\\)\
\
\
\
\
d. \\(12\\)\
\
\
\
\
e. \\(2\\)

Explanation:

Step1: Factor numerators/denominators

$\frac{2(2y - 9)}{3} \times \frac{6}{3(2y - 9)}$

Step2: Multiply numerators and denominators

$\frac{2(2y - 9) \times 6}{3 \times 3(2y - 9)}$

Step3: Cancel common factors

$\frac{2 \times 6}{3 \times 3}$

Step4: Simplify the fraction

$\frac{12}{9} = \frac{4}{3}$

Answer:

B. $\frac{4}{3}$