We can do the inverse, where division basically becomes multiplication. You just flip the denominator and numerator (lower and upper part of the division sign).
[tex]\frac{2}{3} *-\frac{5}{2}[/tex]
The negative stays even when you inverse it. Make sure on future problems you inverse whats being divided, which in this case was -2/5.
We can now multiply across and get:
[tex]- \frac{10}{6}[/tex] as 2•5=10, 3•-2=-6. Therefore -10/6.
Which can be simplified into [tex]-1 \frac{2}{3}[/tex]. This is because 10 goes into 6 once leaving 4. That makes it -1 4/6, but 4/6 can be reduced by a common factor, 2. So just divide 4 and 6 by 2, which is 2/3. So thats why it is -1 2/3.
Brainliest would really help me out, if you have any questions message me
