What is 3.25 repeating with the 5 repeating?

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Answer 1 · 2018-02-19T01:06:54

#x=3 23/90#

So we have: #3.2bar5#

Let's let #x=3.2bar5#

We now multiply both sides by 100. (We move the decimal point by two places to the right.)

#100x=3.25555...*100#

#100x=325.555...#

#100x=325.bar5#

We now divide the equation by 10. (Move the decimal point by one place to the left.)

#10x=32.bar5# We now subtract both equations.

#100x-10x=325.bar5-32.bar5#

Note that the infinite fives cancel each other out.

#90x=293# We now solve this equation.

#x=3 23/90#