STEP - BY STEP EXPLANATION
What to do?
Simplify the given expression.
Given:
Step 1
First simplify the numerator.
[tex]\begin{gathered} 4+\frac{1}{6} \\ \\ =\frac{24+1}{6}=\frac{25}{6} \end{gathered}[/tex]
Step 2
Simplify the denominator.
[tex]5-\frac{4}{5}=\frac{25-4}{5}=\frac{21}{5}[/tex]
Step 3
Perform the division operation on them.
[tex]\frac{\frac{25}{6}}{\frac{21}{5}}[/tex][tex]\begin{gathered} =\frac{25}{6}\times\frac{5}{21} \\ \\ =\frac{125}{126} \end{gathered}[/tex]
ANSWER
125/126
