Please divide the cyclic decimal 0 101, 01 cycle and 0 10 and 10 cycle into fraction form

Updated on educate 2024-08-08
7 answers
  1. Anonymous users2024-02-15

    Cycle knots. Sections have several denominators.

    Just write a few 9s, the non-cyclic part has a few digits followed by a few zeros, and the numerator is the significant number of the whole decimal part minus the non-cyclic part.; loop) = 1 again 57 99;cycle) = (42-4) 90 = 38 90;circulation) = 2 and (353-3) 990 = 2 and 350 990;Loop)=9 and 5 Cycle)=10 99;loop) = 10 99, the same size.

  2. Anonymous users2024-02-14

    No, write them as two decimal parts with the same digit, and then see if the number on each digit is the same, because the ratio of the size is the number on the digit who is bigger and who is smaller, and if the number on each digit is the same, then the number is the same. So let's look at the first place, the cycle of 01 is written as a number with six decimal places, and then the cycle of 10 is written as a number with six decimal places, that is, we can see that the number on each digit of these two numbers is the same, and will continue to be the same, so these two numbers are equal.

  3. Anonymous users2024-02-13

    If the handicap is made = 2+5 9) 10 = 23 rounds to make 90

  4. Anonymous users2024-02-12

    Summary. The answer is 73 99

    What is the fraction of dividing the infinite loop into fractions.

    The answer is 73 99

    When there are several digits in the cyclic node during the cyclic decimal transformation, the numerator is the cyclic node, and the denominator has several 9s

  5. Anonymous users2024-02-11

    Hello, I'm glad to answer for you, the decimal fraction is 15 1000, and the fraction is 3 200

  6. Anonymous users2024-02-10

    Solution: Is it necessary to infinitely loop the decimal number99……99……"Convert into fractions? If yes, share a solution and use an equation to solve it.

    Take " as an example, let , then the two sides are multiplied by 10, there is 10x=, x=1 9, that is. The others follow this and follow the same rule, in order of 9.

    FYI.

  7. Anonymous users2024-02-09

    An infinite cyclic decimal fraction is actually the sum of the infinite terms of an equal proportional series, which is an application of limit operations.

    an(n→+∞=a1/(1-q)

    Here the common ratio q must meet 0 |q|<1

    The cyclic decimal of = the first term a1=, the common ratio q=

    So the cyclic decimal =

    Similarly: the cyclic decimal = 2 9

    Cyclic decimal = 3 9 = 1 3

    Cyclic decimal = 4 9

    Cyclic decimal = 5 9

    Cyclic decimal = 6 9 = 2 3

    Cyclic decimal = 7-9

    Cyclic decimal = 8 9

    Cyclic decimal = 9 9 = 1

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