(solved)What is 16 2/3% as a fraction?. . . . .

##1/6##
##color(blue)(“I have given an ‘over the top’ explanation so that”)##
##color(blue)(“you see where everything comes from. Also”)##
##color(blue)(“introducing you to some useful methods.”)##

Percentage is parts of 100.
An example: 2% is ##2/100##
So we need to convert your ##16 2/3% ” “##into parts of 100
Write ##16 2/3## as ##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 times 1)/(3 times 100)##
##16/100 + 2/300##
Before we can add these directly we need to make the bottom numbers the same (denominators)
Need to change 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 divide 10) =5/30##
##=(5 divide 5)/(30 divide 5) = 1/6 ##

Expert Answer


Answer to What is 16 2/3% as a fraction? . . .

OR
Order Now
×

Hello!

Click one of our contacts below to chat on WhatsApp

× How can I help you?