How do you turn 2/3 to a decimal?

1 Answer
Jun 7, 2016

#2/3 = 0.67 or 0.667 or 0.667# etc.

Explanation:

One way of writing a fraction as a decimal is to change the fraction so the denominator is a power of 10.
However, 3 does not divide into any power of 10, so that method does not work here.

The other way is to remember that #2/3# also means #2 ÷ 3#

Dividing gives the following:

#3|underline(2.000000000)#
#" "0.66666666666....# Each time the remainder is 2, so the pattern will continue to infinity.

This is rounded off to an appropriate level of accuracy for the answer required.

#2/3 = 0.67 or 0.667 or 0.667# etc.