The difference of nine times a number and the quotient of 6 and the same number would be written as [tex]9x - \frac{x}{6}[/tex]
Quotient simply means to divide a number by another number without any remainder.
Quotient of 6 and the same number is equal to [tex]\frac{x}{6}[/tex]
Translating the word problem into an algebraic expression, we have;
[tex]9x - \frac{x}{6}[/tex]
If we wish to simplify further, we would equate the expression to 0.
[tex]9x - \frac{x}{6} = 0[/tex]
In conclusion, the difference of nine times a number and the quotient of 6 and the same number would be written as [tex]9x - \frac{x}{6}[/tex]
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