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You are watching: 16 2/3 as a fraction

Percentage is parts of 100.

Note that the % sign is prefer units of measurement. Its value to be taken into consideration as: # 1/100#

An example: 2% is the exact same as #2xx1/100 = 2/100#

So the #16 2/3% " "#is the exact same as #" "16 2/3xx1/100#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Write #16 2/3# together #16 + 2/3#

Change into fractions of 100 parts

#16/100 +(2/3)/100#

But #(2/3)/100 = 2/3 times 1/100#

Now we have #16/100 + (2 time 1)/(3 times 100)#

#16/100 + 2/300#

Before we can include these directly we have to make the bottom numbers the exact same (denominators)

Need to readjust the 100 in #16/100# into 300.

Multiply by 1 but in the form of #3/3#

#(16 times 3)/(100 times 3 ) + 2/300#

#=48/300 + 2/300 = 50 /300#

Simplifying gives:

#=(50 divide 10)/(300 division 10) =5/30#

#=(5 division 5)/(30 divide 5) = 1/6 #

Answer attach

Tony B
Nov 18, 2017

Alternative presentation of same idea

#1/6#

Explanation:

Note that #16 2/3# is the same as #color(white)("dd")16color(white)("d.d")+color(white)("dd")2/3#

Also: #3xx16 2/3# is the very same as #<3xx16>+<3xx2/3> = 48+2=50#

Multiply by 1 and also you execute not change the value. However, 1 come in countless ways.

#color(green)(16 2/3% =color(white)("d")<16/100>color(white)("dd")+color(white)("dd")<(2/3)/100>#

#color(white)("ddddd")color(green)(-><16/100color(red)(xx1)>+<(2/3)/100color(red)(xx1)>#

#color(white)("ddddd")color(green)(-><16/100color(red)(xx3/3)>+<(2/3)/100color(red)(xx3/3)>#

#color(white)("ddddd")color(green)(->color(white)("dd")<48/300>color(white)("dd")+color(white)("dd")<2/300>)#

#color(white)("dddddddddd")color(green)(->color(white)("d")(50-:50)/(300-:50)=1/6)#

color(white)("d")

Answer attach

EZ together pi
january 11, 2018

#1/6#

Explanation:

#%# way "out of 100"

So #29%# means #29/100#

Sometimes the fraction can it is in simplified:

#35% =35/100 = 7/20#

In this case we have actually a combined number as a percent.

Change it into an not correct fraction:

#16 2/3% = 50/3%#

Write it in the same way as before: #(50/3)/100#

This in reality means: #50/3 div 100/1#

#= 50/3 xx1/100" "larr# multiply by the reciprocal

Simplify: #cancel50/3 xx 1/cancel100^2#

#=1/6#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~You can additionally use the quick cut rule:

#(a/b)/(c/d) = (axxd)/(bxxc) = (ad)/(bc)#

#(50/3)/100 = (50/3)/(100/1)#

#=(50xx1)/(100xx3)#

#=1/2 xx 1/3#

# = 1/6#

Answer attach
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