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Put the repeating digits over the same number of 9s as there are repeating digits; then simplify.
examples
- 0.333333....
0.3333.... = 3/9 = 1/3
- 0.14285714285714....
0.14285714285714... = 142857/999999 = 1/7
- 5.6666....
5.6666... = 5 + 0.6666....
= 5 + 6/9
= 5 + 2/3
= 52/3
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How do you convert a mixed fraction into a decimal number?
To convert a mixed number into a decimal, first you must convert the fraction part of the mixed number into decimal form. Do this by dividing the numerator (the top number) by the denominator (the bottom number). Then, place the whole number that was originally part of the mixed number as the whole number for the decimal. For example, let's convert this mixed number into a decimal: 51/4. 1/4 = 0.25 The whole number originally part of the mixed number, 51/4 is 5. Place 5 as the whole number for the decimal. Therefore, the answer is 5.25.
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