# How do you write 4 1/5 as a percent?

First, convert the mixed fraction to decimal, then multiply by ##100## to get ##420%##

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To write this value as a percentage, we first need to convert the mixed fraction to a decimal. The fraction ##1//5## has a decimal value of ##0.2## so our mixed fraction can be written as

##4 1/5 = 4+ 1/5 = 4+0.2 = 4.2##

Converting a decimal value to a percentage we just multiply by 100:

##4.2 = 4.2 * 100/100 = (4.2 * 100 )/ color(red)100 = 420 color(red)%##

Note the ##%## or “percent” comes from per-cent, meaning per-##100##, which is what replaced the ##1/100## in our final equation!

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