Real life word problem 1/2x7/8

[saad123]

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"

Thank you in advance

 

[uart]

Why don't you just do a pizza example. It's easy to understand and easy to show graphically.

Allan, Bob and Chuck buy a large pizza to share. Allan isn't very hungry and only wants one slice consisting of 1/8th of the total pizza. Bob and Chuck decide to share the remainder evenly between them.

1 - 1/8 = 7/8 remains after Allan takes his slice.

1/2 * 7/8 = 7/16 is what Bob and Chuck each get.

 

[saad123]

Thank you so much
What about the diagram
Is it eight pieces, then color 7 out of 8

 

[uart]

Thank you so much
What about the diagram
Is it eight pieces, then color 7 out of 8

Yes, and then show the 7 remaining pieces split into two equal parts by dividing at least one of them in two (making them each 1/16th).

 

[CellCoree]

for your help!
Hello,

I am a scientist and I would be happy to help you and your child with this problem. The expression 1/2x7/8 can be interpreted as "half of something multiplied by seven eighths of that same thing". In order to create a real life word problem for this expression, we need to think of a scenario where we have a quantity that is divided into two equal parts, and then one of those parts is multiplied by seven eighths.

One example could be a pizza that is cut into two equal slices. If one slice is then cut into seven equal pieces, what fraction of the original pizza is represented by this smaller slice? This would be equivalent to 1/2 x 7/8, since we are taking half of the pizza (1/2) and then multiplying it by seven eighths (7/8) of that half. So the answer would be 7/16 of the original pizza.

To help visualize this problem, we can draw a diagram. Draw a circle to represent the whole pizza, then divide it into two equal slices. One of these slices can then be divided into seven equal pieces. Shade in 7/8 of this smaller slice to represent the fraction we are looking for. The shaded region will be 7/16 of the whole pizza.

Finally, to evaluate 1/2x7/8, we can simplify the expression by multiplying the numerators (1x7) and the denominators (2x8). This gives us a final answer of 7/16, which is the same as our previous solution using the pizza example.

I hope this helps clarify the problem for your child. If you have any further questions, please let me know. Good luck!