20 Jun ##1/6## ##color(blue)(I have given an ‘over the top’ exp
##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 ##
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