How do you write 282% as a fraction, mixed number, or whole number in simplest form?

2 Answers
Apr 13, 2018

#141/50# or #2 41/50#

Explanation:

#282%# = #282/100# (percent just means "out of 100")
#282/100# = #141/50# As the simplest (improper) fraction.
To find the mixed number, you can rewrite #141/50# as #100/50 + 41/50#. #100/50 = 2#, so you can write this as #2+41/50#, a mixed number. #282/100# cannot be simplified to a whole number.

#280/100# for fraction,

#2 82/100# for mixed number

#2.82# for a whole number in simplest form

Explanation:

Expand the percent into a full fraction by dividing by 100:

#282% = 282 /100 #

A mixed number takes out any full fractions, so:

#282 / 100 = 100 / 100 + 100/100 + 82 / 100#

#= 1 + 1 + (82/100)#
# 2 82/100#

A whole number in simplest form expands any fractions in a mixed number to a decimal value:

#82/100 = 0.82#

so #2 + 82/100#

#= 2 + 0.82#

#= 2.82#