How do you convert 1/12 into a decimal and percent?

Question

Nathan Axel · Accepted Answer

#8 1/3% " "->" "0.0833bar3 #

Lets do it the other way round and determine the % first.

% is like a unit of measurement and is worth #1/100#

So #x%# is the same as #x xx1/100=x/100# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Concept behind method")#

Initial condition# ->" "1/12# but we need #x/100# so the 12 needs to be changed into 100.

First divide it by 12 to make 1 then multiply by 100 to make 100.

#12xx1/12xx100 -> 12xx100/12# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("The actual calculation for percentage")#

To maintain proportionality what you do to the bottom you do to the top (for multiply of divide).

Multiply top and bottom by #100/12#

Initial condition# ->" "1/12 -> (" "1xx100/12" ")/(12xx100/12) = (8.333...)/100#

#8.333...# is the same as #8 1/3#

So we have #8 1/3%# as an exact value ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Converting this to a decimal value")#

We have #8.3333... -:100 = 0.083333...#

The 3's repeat for ever and a way of writing this is: #0.083bar3# where the bar over the last 3 means that it is repeated for ever.

Jameson Allen · Answer

undefined To convert $ \frac{1}{12} $ into a decimal, divide 1 by 12. $ \frac{1}{12} = 0.0833 $ (rounded to four decimal places). To convert it into a percentage, multiply the decimal by 100. So, $ 0.0833 \times 100 = 8.33\% $.