How do you simplify #0.4 div 1.8#?

1 Answer
EZ as pi
Jul 11, 2016

#2/9# or 0.2222222... written as #0.dot2#
The fraction answer is exact and therefore better.

Explanation:

When working with decimals, you cannot divide BY a decimal.
Change the numbers to:

#0.4/1.8 xx 10/10 = 4/18#

#10/10 = 1# so by multiplying by 1, we are not changing the value of the numbers or the the division, only what they look like.

#4/18 = 2/9#

The answer can be left as #2/9# which is an exact answer, or by dividing 2 by 9, we get the recurring decimal 0.222222.....

#2/9# or 0.2222222... written as #0.dot2#
The fraction answer is exact and therefore better.

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