Can you explain why 2 1/2 x 500 is = 1250?

( 5/2 ) x 500 = 5 x 250 = 1250

2 1/2 x 500 is 5/2 x 500 or reduced to 5 x 250 = 1,250.

2 1/2
= 2 + 1/2
= 4/2 + 1/2
= 5/2

(2 1/2)(500)
= (5/2)(500)
= (5 x 500)/2
= 2500/2
= 1250

By just doing the numbers. multiplying
500 twice is1000.
1/2 of 500 is250.

Add them together and you get 1250.

First you want to convert 2 1/2 into an easier to manage fraction. So multiply the two in front of the 1/2 by the denominator 2 belonging to the 1/2. You'll get four because 2 x 2 = 4. Add that 4 to the numerator 1 belonging to the 1/2 and you'll get 5. So your new fraction is 5/2 instead of 2 1/2.

So then you'll have 5/2 x 500/1. Multiplying the numerators of each, you'll get 2500, because 5 x 500 is 2500. Multiplying their denominators, you'll get 2, because 2 x 1 is 2. So 5/2 x 500 = 2500/2.

And if you divide 2500 by 2, you'll get 1250.


Hope that helps!

As 2 1/2 =5/2
and 5/2 *500 =1250.
its d proof

If I had five hundred dollars in each of my pockets I'd have a total of one thousand dollars in my pockets; If I had half of five hundred dollars in my shoe I'd have two hundred and fifty dollars in my shoe. I'd have 500 + 500 + 250 or to put it another way 2 1/2 times 500 dollars for a total of 1250 dollars.

2 x 500 = 1000

1/2 - 0.5 +

0.5 x 500 = 250


---------------------------------------------
1250

2.5 x 500 =
(2 x 500) + (0.5 x 500)
= 1000 + 250
=1250

try to break it down
2 1/2 x 5= 12.5
move the decimal place over two spaces and you get 1250.