# Thread: Real life word problem 1/2x7/8

1. ## Real life word problem 1/2x7/8

Hi All,
My child has a problem that I can't help him to understand.
It will be highly appreciated if I could find a solution for this problem:
A studnet in answering a word problem wrote 1/2x7/8
a- Write a "real life" word problem for which 1/2x7/8 is part of the working.
b- Draw a diagram to illustrate 1/2 x 7/8
c- Evaluate 1/2x 7/8 "which I think this the easiest one"

2. ## Re: Real life word problem 1/2x7/8

For a) you might be able to say something like you know the post office is 7/8 of a kilometer from your house, and that the bus stop is halfway between your house and the post office. How far is the bus stop from your house?

3. ## Re: Real life word problem 1/2x7/8

Another could be "A recipe for muffins for 4 people requires 7/8 cup of flour. How much would be required if you only wanted to make muffins for 2 people?"

4. ## Re: Real life word problem 1/2x7/8

$\displaystyle \text{A student in answering a word problem wrote: }\,\tfrac{1}{2} \times \tfrac{7}{8}.$
$\displaystyle \text{(a) Write a "real life" word problem for which }\tfrac{1}{2}\times\tfrac{7}{8}\text{ is part of the working.}$
Your mother baked an apple pie.
Your father ate $\displaystyle \tfrac{1}{8}$ of it.
You and your brother will share the rest of the pie equally.
What fraction of the pie is your share?

$\displaystyle \text{(b) Draw a diagram to illustrate }\tfrac{1}{2}\times\tfrac{7}{8}$

This is the pie with your father's slice removed.
Code:
              * * *..
*     .:::::*.
*       .:::::::*
*  .     .:::::.  *
.   .:::.
*       . .:.       *
* . . . . * . . . . *
*       . . .       *
.   .   .
*  .     .     .  *
*       .       *
*     .     *
* * *
This is your share of the pie.
Code:
            ..* *
.*:::::*
*:::::::*       *
*::::::::*     *  *
:::::::::*   *
*:::::::::* *       *
*:::::::::* . . . . *
*::::::::/. .       *
:::::::/ .   .
*:::::/  .     .  *
*:::/   .       *
*     .     *
* * *

$\displaystyle \text{(c) Evaluate }\tfrac{1}{2}\times\tfrac{7}{8}$

$\displaystyle \frac{1}{2} \times \frac{7}{8} \;=\;\frac{1\times 7}{2\times 8} \;=\;\frac{7}{16}$