How do you convert 1/3 into a decimal and percent?

Question

Kennedy Adams · Accepted Answer

#1/3# as a decimal #->0.3bar3#

#1/3# as a percentage #->(33.3bar(3))/100 -> 33.3bar(3)%# #color(blue)("Determining the decimal value of "1/3)# If you apply long division you soon observe a repeating pattern. You would have demonstrated that this pattern goes on forever. The number is: #0.3333333333333.....# The mathematical way to show the repeating process is to put a bar over the last 3 that you write. So you would get: #0.3bar3# .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Determining the percentage equivalent of "1/3)# The first decimal place is #1/10color(white)()^("ths")# The second decimal place is #1/100color(white)()^("ths")# As percentage is really #1/100color(white)()^("ths")# then we would write: #(33.3bar(3))/100 -> 33.3bar(3)%#

Genesis Allen · Answer

undefined To convert 1/3 into a decimal, divide 1 by 3. The result is approximately 0.3333. To convert 0.3333 into a percentage, multiply by 100. The result is approximately 33.33%.

Nathan Axel · Answer

undefined To convert 1/3 into a decimal, you divide 1 by 3, which equals 0.3333 (repeating). To convert 0.3333 (repeating) into a percent, you multiply by 100, which equals approximately 33.33%.