Associative property of multiplication applies to
[tex]-\frac{5}{12}\left(\frac{6}{5}\:\cdot \frac{1}{3}\right)\:\frac{9}{2}=\:\left(-\frac{5}{12}\cdot \frac{6}{5}\right)\cdot \left(\:\frac{1}{3}\cdot \:\frac{9}{2}\right)[/tex]
Option A
Explanation
WE are given with some equations where properties o numbers are applied
Lets check one by one and see which one applies associative property of multiplication
Associative property says that the numbers that are grouped changed in multiplication does not change the product.
[tex]-\frac{5}{12}\left(\frac{6}{5}\:\cdot \frac{1}{3}\right)\:\frac{9}{2}=\:\left(-\frac{5}{12}\cdot \frac{6}{5}\right)\cdot \left(\:\frac{1}{3}\cdot \:\frac{9}{2}\right)[/tex]
In the above equation , the fractions are grouped as first two fractions and last fractions.
The grouping the fractions does not change the value of product
Still the equation remains the same
Associative property of multiplication applies to
[tex]-\frac{5}{12}\left(\frac{6}{5}\:\cdot \frac{1}{3}\right)\:\frac{9}{2}=\:\left(-\frac{5}{12}\cdot \frac{6}{5}\right)\cdot \left(\:\frac{1}{3}\cdot \:\frac{9}{2}\right)[/tex]
Learn more : brainly.com/question/22066717
