Answer:
[tex]4\frac{23}{24}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]2\frac{1}{3}(4\frac{1}{4}\div 2)[/tex]
We convert to improper fraction to get:
[tex]\frac{7}{3}(\frac{17}{4}\div 2)[/tex]
We now deal with the parenthesis by multiplying with the reciprocal of 2.
[tex]\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )[/tex]
This gives:
[tex]\frac{7}{3}(\frac{17}{8})[/tex]
We multiply to get:
[tex]\frac{7}{3}(\frac{17}{8})[/tex]
This simplfies to:
[tex]\frac{119}{24}[/tex]
We write as mixed number
[tex]4\frac{23}{24}[/tex]
