Answer :
The total time that Sheryl has is 7 3/4 hours
she spends 2 1/2 hours lip-sync the new song
she spends 2 2/3hours learning the new dance steps.
The time she has for her VTV interview
[tex]7\text{ }\frac{3}{4}-2\frac{1}{2}-2\frac{2}{3}[/tex][tex](7-2-2)+(\frac{3}{4}-\frac{1}{2}-\frac{2}{3})=3+(-\frac{5}{12})=\frac{36}{12}-\frac{5}{12}=\frac{31}{12}=2\frac{7}{12}[/tex]She will have 2 7/12 for her interview