How do you write #4 3/5# as a percent?

2 Answers
Nov 26, 2016

#460%#

Explanation:

problem given
write fraction #4(3)/(5)# as a percent

concept applied

  • converting mixed number to improper fraction
    #a(b)/(c)=((a\timesc)+b)/c#
  • decimal conversion to percent
    given decimal #0.cd#, just multiply by 100 and you will get the percentage form #\rArr0.cd\times100=cd%#

calculation
mixed number #4(3)/(5)# to improper form: #((4\times5)+3)/5=23/5#
dividing that fraction we get #23\div5=4.6#
getting percentage form #\rArr460%#

Nov 26, 2016

460%

Explanation:

Percent means 'out of every 100'.
You can always replace % with #1/100# as %=#1/100#
.
1, whole part of anything etc means 100% as 100% means 1.

Solution:

Given fraction =# 4+3/5#

= #(4×100)×1/100+(3/5×100)×1/100#

= #400×1/100+60×1/100#

= #400%+60% = 460%#

(as #1/100=%# )