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Answer:

95/40 or [tex]2\frac{3}{8}[/tex].

Step-by-step explanation:

We can write, [tex]15\frac{5}{6}[/tex] as [tex]\frac{95}{6}[/tex]  and [tex]6\frac{2}{3}[/tex] as [tex]\frac{20}{3}[/tex].

Let x be the other number.

We know that the product of the two numbers is 95/6. So we can set up the equation:

(20/3) * x = 95/6

To solve for x, we can cross-multiply and simplify:

20x = (95/6) * 3

20x = 95/2

x = (95/2) / 20

x = 95/40

Therefore, the other number is 95/40 or [tex]2\frac{3}{8}[/tex].