You should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1
Solution:
Let the number to be multiplied be "a"
Given that,
By what number would you multiply 9/5 to get a product of -1
'a" multiplied with 9/5 should give a product -1
Therefore, writing it mathematically we get,
[tex]a \times \frac{9}{5} = -1[/tex]
Solve the above equation for "a"
[tex]a \times \frac{9}{5} = -1\\\\a = -1 \times \frac{5}{9}\\\\a = \frac{-5}{9}[/tex]
Therefore, you should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1