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

3 Answers
Mar 19, 2018

Answer:

#0.bar(6)#

Explanation:

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)#.

Mar 19, 2018

Answer:

#=0.67#

Explanation:

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#

May 18, 2018

Answer:

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

Rounding gives #0.67 or 0.667# etc

Explanation:

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#