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What Is 0.13333 (3 Repeating) As A Fraction? Can You Also Put An Explanation Thanks :D
Ordinarily, an over-bar would be used to identify the repeating digits. On Blurtit, an under-bar is easier to create. 0.133 = 0.1*1.33 = 0.1*(1 1/3) (recognize that 0.33 = 1/3) = (1/10)*(4/3) = 4/30
When the repeating digits start at the decimal point, the equivalent fraction can be found by putting the repeating digits over an equal number of nines. 0.142857142857 = 142857/999999 = 1/7 (there are 6 repeating digits, so we use 6 nines in the denominator) In your problem above, we rearranged the number so as to put the repeating part at the decimal point.
When the repeating digits start at the decimal point, the equivalent fraction can be found by putting the repeating digits over an equal number of nines. 0.142857142857 = 142857/999999 = 1/7 (there are 6 repeating digits, so we use 6 nines in the denominator) In your problem above, we rearranged the number so as to put the repeating part at the decimal point.