What is #3 1/2%# of #250#?

2 Answers
Jan 28, 2017

A different approach!

#8 3/4#

Explanation:

the % is like a unit of measurement that is worth #1/100#

So # 3 1/2%" is the same as "3 1/2xx1/100 = (3 1/2)/100#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write as: #(3 1/2)/100xx250#

This is the same as: #3 1/2xx250/100#

Which is the same as #3 1/2xx2.5#

Which is the same as #3 1/2xx(2+1/2)#

Twice #3 1/2=7#
Half of #3 1/2=1 3/4#

#7+1 3/4=8 3/4#

NOTE THAT the question uses fractional format so it is good practice to give the answer in the same format.

#3 1/2%" of "250 =8 3/4#

Jan 28, 2017

#8.75 or 8 3/4#

Explanation:

#3 1/2 %# of 250

#:.3.5/cancel100^1 xx cancel250^2.5/1#

#:.3.5 xx 2.5 =8.75 or 8 3/4 #

check:

#:.cancel(8.75)^.35/(cancel250^10) xx 100/1#

#:..35/cancel10^1 xx cancel100^10/1#

#:..35 xx 10=3.5 or 3 1/2 %#