Given:
[tex](4k+4)\div\frac{9k+9}{5}[/tex]
Required:
Divide the expression.
Explanation:
The given expression is:
[tex](4k+4)\div\frac{9k+9}{5}[/tex][tex]\begin{gathered} (4k+4)\times\frac{5}{9k+9} \\ =4(k+1)\times\frac{5}{9(k+1)} \end{gathered}[/tex]
Cancel out the same terms from the numerator and denominator.
[tex]\begin{gathered} =\frac{4\times5}{9} \\ =\frac{20}{9} \end{gathered}[/tex]
Final Answer:
Thus the simplification of the given expression is
[tex]\frac{20}{9}[/tex]
