What is #62\frac { 1} { 2} \%# of $2400?

2 Answers
Jul 19, 2017

$1500

Explanation:

#62.5% of $2400 =62.5/cancel(100)*$24cancel(00) =$1500#

Jul 19, 2017

See a solution process below:

Explanation:

First, convert #62 1/2%# from a mixed number to a decimal:

#62 1/2% = 62.5%#

"Percent" or "%" means "out of 100" or "per 100", Therefore 62.5% can be written as #62.5/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#n = 62.5/100 xx $2400#

#n = ($150000)/100#

#n = $1500#

#color(red)($1500)# is #62 1/2%# of $2400.