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Convert the fraction below into a decimal

(4)/(11)
Edit the repeating and non-repeating part of the decimal:

0.

Convert the fraction below into a decimal\newline411 \frac{4}{11} \newlineEdit the repeating and non-repeating part of the decimal:\newline0. 0.\square\overline{\square}

Full solution

Q. Convert the fraction below into a decimal\newline411 \frac{4}{11} \newlineEdit the repeating and non-repeating part of the decimal:\newline0. 0.\square\overline{\square}
  1. Divide with Decimal Point: We divide 44 by 1111 using long division. Since 44 is less than 1111, we add a decimal point to 44, making it 4.04.0 and then add a zero to continue the division.
  2. First Digit Calculation: When we divide 4040 by 1111, we get 33 with a remainder of 77. So, the first digit of the decimal is 33.
  3. Continuing Division: We add another zero to the remainder to continue the division. Now we have 7070 divided by 1111, which gives us 66 with a remainder of 44.
  4. Identifying Repeating Decimal: Again, we add another zero to the remainder and continue the division. Now we have 4040 divided by 1111, which we have already calculated in a previous step as 33 with a remainder of 77.
  5. Identifying Repeating Decimal: Again, we add another zero to the remainder and continue the division. Now we have 4040 divided by 1111, which we have already calculated in a previous step as 33 with a remainder of 77.At this point, we can see that the division will repeat the same sequence of numbers, indicating that the decimal is a repeating decimal. The digits 3636 repeat indefinitely.

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