We have the next information
2/3 of an hour --- Monday
5/6 of an hour --- Tuesday
3/4 of an hour ----Wednesday
we need to sum each value
[tex]\frac{2}{3}+\frac{5}{6}+\frac{3}{4}[/tex]as we can see we can't sum the factions above without changing the denominator to a minimum common multiple, in this case, is 12, always we sum fractions we need to have the same denominator
[tex]\frac{2}{3}=\frac{8}{12}[/tex][tex]\frac{5}{6}=\frac{10}{12}[/tex][tex]\frac{3}{4}=\frac{9}{12}[/tex]Having all the fractions with the same denominator we can sum them
[tex]\frac{8}{12}+\frac{10}{12}+\frac{9}{12}=\frac{27}{12}=\frac{9}{4}=2\frac{1}{4}\text{ }[/tex]the time he spent on homework for the week is 9/4 hour or 2 1/4 hours
