Answer:
[tex] Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.[/tex]
Step-by-step explanation:
As given
[tex]A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.[/tex]
i.e
[tex]\frac{5}{6}\ cup\ of\ sugar = 1\ recipe[/tex]
As the mrs.Marina is going to make one half of the recipe .
[tex]Thus\ multiply\ above\ by\ \frac{1}{2}.[/tex]
We get
[tex]\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe[/tex]
solving the above
[tex]\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe[/tex]
[tex]Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.[/tex]