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Convert the fraction below into a decimal

(29)/(40)
Edit the repeating and non-repeating part of the decimal:

0". "

Convert the fraction below into a decimal\newline2940 \frac{29}{40} \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\newline2940 \frac{29}{40} \newlineEdit the repeating and non-repeating part of the decimal:\newline0. 0.\square\overline{\square}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the fraction 2940\frac{29}{40} into a decimal. This involves dividing the numerator by the denominator.
  2. Set up the division: Set up the division.\newlineTo convert the fraction to a decimal, we divide 2929 by 4040.
  3. Perform the division: Perform the division.\newlineUsing long division, we divide 2929 by 4040. Since 2929 is less than 4040, we add a decimal point and a zero to 2929, making it 290290. Now, we see how many times 4040 goes into 290290.\newline4040 goes into 290290 seven times (404000), with a remainder of 404011.
  4. Continue the division: Continue the division.\newlineWe add another zero to the remainder to continue the division. Now we have 100100. We see how many times 4040 goes into 100100.\newline4040 goes into 100100 two times (2×40=802 \times 40 = 80), with a remainder of 2020.
  5. Continue the division: Continue the division until the remainder is zero or the pattern repeats.\newlineWe add another zero to the remainder to continue the division. Now we have 200200. We see how many times 4040 goes into 200200.\newline4040 goes into 200200 five times (5×40=2005 \times 40 = 200), with a remainder of 00.
  6. Write the final answer: Write the final answer.\newlineSince there is no remainder, the division is complete, and the decimal form of 2940\frac{29}{40} is 0.7250.725.

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