Nancy spent 3 2/6 hours working on her homework,while her sister Sally spent 1 8/12 hours working on her homework.How many more hours did Nancy spend on homework than Sally?

Respuesta :

Answer:

Nancy Spent  [tex]1\frac{8}{12}[/tex] hours more than Sally.

Step-by-step explanation:

Given:

Nancy spent 3 2/6 hours working on her homework.

Hours spent on Homework by Nancy = [tex]3\frac{2}{6}[/tex]

[tex]3\frac{2}{6}[/tex] can be Rewritten as [tex]\frac{20}{6}[/tex]

Hours spent on Homework by Nancy = [tex]\frac{20}{6}[/tex]

Also Given;

Sally spent 1 8/12 hours working on her homework.

Hours spent on Homework by Sally = [tex]1\frac{8}{12}[/tex]

[tex]1\frac{8}{12}[/tex] can be Rewritten as [tex]\frac{20}{12}[/tex]

Hours spent on Homework by Sally = [tex]\frac{20}{12}[/tex]

We need to find Hours spent more by Nancy;

It can be calculated by subtracting Hours spent by Sally with Hours spent by Nancy;

Hours Spent More = [tex]\frac{20}{6}-\frac{20}{12}[/tex]

Now we will make the denominators common then solve for the same.

Hours Spent More =[tex]\frac{20\times 2}{6\times2}-\frac{20\times1}{12\times1}= \frac{40}{12}-\frac{20}{12}= \frac{40-20}{12}= \frac{20}{12} \ hrs[/tex]

Hence [tex]\frac{20}{12} \ hrs[/tex] can be rewritten as  [tex]1\frac{8}{12}[/tex].

Hence Nancy Spent  [tex]1\frac{8}{12}[/tex] hours more than Sally.