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## 4/5 of 1500 =

I need some help on equations for a 5th and 8th. Please tell me you can help. I would appreciate all the help that I can get. Thanking you in advance,

This problem is straightforward and the explanation contains two ways to get the correct answer.

4/5  * 1500

4   * 1500
--     ------
5          1

Top x top
----------
Bottom x bottom

4* 1500
-----------
5

6000/5 = 1200

Also:

4   *   1500
--       ------
5           1

Divide the 5 and the 1500 by 5:

4     *    300
--          ----
1             1

4*300 = 1200
Four fifths of anything is what you get when you divide the thing into five equal parts and take four of them.
If you divide 1500 into 5 equal parts, each part is 300.  If you take 4 of these parts you have 1200.
To find a fraction of a number, you set up a proportion.  It would look like:  4/5 = x/1500.  You want to find out what x will be so if you reduce the fraction x/1500, you will get 4/5.  Then you cross multiply to solve the proportion.  It would look like this:

4/5 = x/1500
4(1500) = 5(x)
6000=5x
1200 = x ......divide both sides by 5

So 4/5 of 1500 = 1200

You can also convert 4/5 to a decimal, which is 0.8.  Then you multiply 1500 by 0.8 and also get 1200!
4/5*1500
4*1500/5
4*300
1200

My aunt splits her Christmas fund amongst all of her nieces and nephews. My aunt has 4 nieces and 1 nephew.  If my aunts Christmas fund is 1500 dollars, how much will the girls get?

5/5=1 this represents a whole.  There are five people total.
4/5 are girls and 1/5 is a boy. four out of five are girls and one out of five is a boy.
1/5+4/5=5/5=1.

4*1500/5=4*300=1200
The girls will get 1200 dollars this year.

How much will each girl get?

Since there is 1 out of four girls, each girl will receive
1/4*1200=1200/4=300
Each girl will receive 300 dollars this year.

The eighth grader can be challenged by converting the problem to a commission based problem.

Your friend handed you 150 shirts. Your friend paid 150 dollars for the shirts. You have agreed to a payment of 20 percent of the total amount made today. You sold the shirts for 10 dollars each.  How much will you be paid?

20 percent is the same as 20 out of 100 or 1 out of five.
Since you made 1500 dollars, you will be paid 1/5 of 1500 or 1/5*1500=1500/5=300
You made 300 dollars today for the 150 shirts you sold.

You will receive 80 percent. 80 percent is 80/100=4/5
4/5*1500=4*1500/5=4*300=1200
Your profit from shirts sales is 1200 dollars.
Hi Shameka;
4/5 of 1500 =
There are two different ways this can be executed...

(4/5)(1500/1)
Let's multiply the numerators by each other, and the denominators, also known as divisors, by each other...
[(4)(1500)][(5)(1)]
6000/5=1200

We can also convert 4/5 into a decimal...
0.8(1500)=1200
All we need to do for this question is multiply 4/5 by 1500.

1. lets multiply numerator with 1500, so 4*1500 = 6000
2. we can now divide 6000 by 5 to get out answer which is 1200.