we can simply put both fractions with the same denominator, and thus then we can just compare which numerator is larger.
we can do so by multiplying each fraction by the other's denominator, let's proceed.
[tex]\bf \stackrel{Laura}{\cfrac{3}{4}\cdot \cfrac{3}{3}}\implies \cfrac{9}{12}~\hfill \stackrel{Anna}{\cfrac{2}{3}\cdot \cfrac{4}{4}}\implies \cfrac{8}{12} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{Laura}{\cfrac{9}{12}}~>~\cfrac{8}{12}~\hfill[/tex]
