I will read the problem.
I will reread the problem if I don't understand it.
Next.
Read the problem.
One tray holds 2/3 of a pie.
How much pie would there be on 4 trays?
Let's look at our definitions.
Tray.
A flat, shallow container made of wood, metal, etc.
usually with slightly raised edges
used for carrying food.
The definition of hold is to have or keep objects.
Close.
Next.
Do I understand the problem and can now move forward?
Yes. Yes,
you understand the problem.
Now let's move to the next step.
Restate.
Close.
I will find all important information in the problem and click and highlight it.
Next one tray holds 2/3 of a pie.
How much pie would there be on 4 trays?
I know that 2/3 of a pie is important.
Knowing that we're looking
for 4 trays is important.
Also, knowing that 2/3 of a pie is on one tray is important.
And the question how much pie is also important.
Let's check.
Did I find all the information
in the problem and highlight them by clicking?
Yes. Yes,
you know the important information.
Now let's move to the next step.
Represent.
Close.
I will represent the problem. Next.
Touch or drag relevant numbers from the word problem.
Our multiplier is the number of equal groups.
Our multiplicand is the number of units in one group.
This will help us find our product,
which is the number of units in the number of equal groups.
Our unit amount in this problem is pie, because we are looking for how much pie.
Let's extend
multiplication from whole numbers to fractions.
Multiplicand is the number of units in one group.
There is two thirds of a pie in one tray.
One whole pie
was partitioned into three equal parts.
We have two parts,
each the size of one third.
So two thirds of a pie is what we have shaded yellow
here.
Two thirds of a pie represents the multiplicand and fits on one tray only.
This represents the amount of pie on one tray.
We are finding how much pie we will have on four trays,
which is the number of groups in this problem.
This is going to be our multiplier.
We want to find four trays
of two thirds of a pie.
Each row represents one tray containing two thirds of a pie.
Four rows of
two thirds of a pie are the amount of pie we are looking for.
We can count and check our amounts.
Thus,
2/3,
4/3, 6/3,
and 8/3
are those pies in four trays displayed
as the purple color in these rectangles.
Let's check.
Did I touch or drag relevant numbers?
Yes. Yes,
you represented the problem correctly.
Now, let's move to the next step.
Answer. Close.
I will write the equation and answer it.
Next.
In the Represent step, we figured out that our multiplicand
is 2/3
and our multiplier is 4.
4 as a whole number can also be expressed as 4 over 1.
Now, to find our product, we're going to multiply these two fractions
by multiplying the numerators and multiplying the denominators.
4 times 2 is 8 in the numerator
and 1 times 3 is 3
in the denominator.
We find that our answer is 8/3.
What do we have 8/3 of?
We have 8/3 of a pie.
8/3 is also an improper fraction
because our top number, the numerator 8, is greater than the bottom number,
The denominator of 3.
We can change our improper fraction into a mixed number
to see how many whole pies we have.
Our denominator tells us that there are three equal parts
in each whole pie, and we have eight parts,
each the size of one third of the pie
all together.
One whole pie
would be three thirds because three pieces, each
the size of one third of the unit amount makes a whole pie.
Let's take three pieces and form one whole pie
from our 8/3.
We're taking away three thirds.
Now we are left with 5/3, which is five pieces,
each the size of one third.
Now, let's make one other whole pie
by taking three more pieces from our 5/3.
We have 5/3, and we'll take away three more thirds.
Now we are left with two thirds,
and we have two whole pies.
Using the product
button here,
we can change our improper fraction. Two whole pies
and two thirds left over.
Let's check.
Have I correctly written the equation and insert it?
Yes. Yes,
you are right.
You wrote the equation correctly and answered it.
Good job.