Answer:
[tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
The first step to solving this problem is to convert these into improper fractions.
[tex]7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}[/tex]
[tex]5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}[/tex]
The second step is to determine the reciprocal of the second term.
Reciprocal of [tex]\frac{46}{9} =\frac{9}{46}[/tex]
The third step is to multiply the first term by the reciprocal of the second term.
[tex]\frac{23}{3}*\frac{9}{46}=\frac{207}{138}[/tex]
The fourth step is to reduce this fraction.
[tex]\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}[/tex]
