The question is:
\(\frac34\) times what is \(6\frac12\) ?
\(\frac34x\ =\ 6\frac12\)
Divide both sides of the equation by 3/4
\(x\ =\ 6\frac12\div\frac34\\~\\ x\ =\ \frac{13}{2}\div\frac34\\~\\ x\ =\ \frac{13}{2}\times\frac43\\~\\ x\ =\ \frac{13}{1}\times\frac23\\~\\ x\ =\ \frac{13\times2}{1\times3}\\~\\ x\ =\ \frac{26}{3}\\~\\ x\ =\ 8\frac{2}{3}\)
So...
\(\frac34\) times \(8\frac23\) is \(6\frac12\) ...in other words:
The number of times that \(\frac34\) goes into \(6\frac12\) is \(8\frac23\)