How do you write the fraction #2/3# as a decimal?

Question

Abigail Allen · Accepted Answer

#0.bar(6)# If we put in a calculator #2/3# and convert it into fraction, it would display #0.6666...# with infinite sixes. We could also write it as #0.bar(6)#.

Avery Alexander · Answer

#=0.67# To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator. #2/3 = 0.67#

Isaiah Anthony · Answer

#2div3 = 0.6666666...# which can be given as #0.dot6 or 0.bar6#

Rounding gives #0.67 or 0.667# etc

To change a fraction into a decimal, you treat it as a division. #3/4# means #3 div 4# #" "4|ul(3.0^(2)0)# #color(white)(xxxx)0.75# The working is: #3 div 4 =0# bring down the decimal point, #30 div 4 = 7# carry the remainder of 2 to make #20# #20 div4 =5# However, sometimes you get a recurring decimal. #2/3 = 2div3# is such a case. #" "3|ul(2.0^(2)0^(2)0^(2)0^(2)0)# #color(white)(xxxx)0.6color(white)(.)6color(white)(.)6color(white)(.)6color(white)(.)6 ....# The working is: #2div3 =0# bring down the decimal point. #20div3=6# and carry the remainder #2# to make #20# #20div3=6# and carry the remainder #2# to make #20# #20div3=6# and carry the remainder #2# to make #20# #20div3=6# and carry the remainder #2# to make #20# etc... This gives the recurring decimal #0.6666666....# It can be written as #0.dot6" " or 0.bar6# but is often rounded to one, two or three decimal places, depending on the level of accuracy required. #2/3 ~~ 0.7 ~~0.67 ~0.667#

Hazel Anglin · Answer

undefined To write the fraction 2/3 as a decimal, you divide the numerator (2) by the denominator (3).

$2 \div 3 = 0.666...$

So, 2/3 as a decimal is approximately 0.666.