Question

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?

Answer 1

Answer:

Nancy Spent  $1\frac{8}{12}$ 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 = $3\frac{2}{6}$

$3\frac{2}{6}$ can be Rewritten as $\frac{20}{6}$

Hours spent on Homework by Nancy = $\frac{20}{6}$

Also Given;

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

Hours spent on Homework by Sally = $1\frac{8}{12}$

$1\frac{8}{12}$ can be Rewritten as $\frac{20}{12}$

Hours spent on Homework by Sally = $\frac{20}{12}$

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 = $\frac{20}{6}-\frac{20}{12}$

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

Hours Spent More =$\frac{20\times 2}{6\times2}-\frac{20\times1}{12\times1}= \frac{40}{12}-\frac{20}{12}= \frac{40-20}{12}= \frac{20}{12} \ hrs$

Hence $\frac{20}{12} \ hrs$ can be rewritten as  $1\frac{8}{12}$.

Hence Nancy Spent  $1\frac{8}{12}$ hours more than Sally.