How do you convert 3.3 (3 repeating) as a fraction?

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Jun 11, 2016

Answer:

#3 1/3#

Explanation:

This question is an example of repeating decimals.
And, it is rather simple.
Let's say #x# is the number above, #3.3333...#

#x = 3.33333...#

Multiply that by 10.
#10x = 33.33333...#

Take the second equation, and subtract the first equation from it.
#10x - x = 33.33333... - 3.33333...#
#9x = 30#
#x = 30/9#
#x = 10/3#
#x = 3 1/3#

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