Answer:
[tex]\mathsf{\frac{3}{2}}[/tex]
Step-by-step explanation:
In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.
In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].
Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.