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Which decimal is equivalent to 
(29)/(11) ?
Choose 1 answer:
(A) 
2.6 bar(3)
(B) 2.6363
(C) 
2. bar(63)
(D) 
2. bar(6)

Which decimal is equivalent to 2911 \frac{29}{11} ?\newlineChoose 11 answer:\newline(A) 2.63 2.6 \overline{3} \newline(B) 22.63636363\newline(C) 2.63 2 . \overline{63} \newline(D) 2.6 2 . \overline{6}

Full solution

Q. Which decimal is equivalent to 2911 \frac{29}{11} ?\newlineChoose 11 answer:\newline(A) 2.63 2.6 \overline{3} \newline(B) 22.63636363\newline(C) 2.63 2 . \overline{63} \newline(D) 2.6 2 . \overline{6}
  1. Divide and Find Decimal: Divide 2929 by 1111 to find the decimal equivalent.\newlineCalculation: 29÷11=229 \div 11 = 2 with a remainder of 77.
  2. Continue Division with Remainder: Since there is a remainder, we continue the division to find the decimal part.\newlineCalculation: We add a decimal point to 22 (the quotient) and bring down a zero to the remainder to continue the division. Now we have 7070 to divide by 1111.
  3. Divide 7070 by 1111: Divide 7070 by 1111.\newlineCalculation: 70÷11=670 \div 11 = 6 with a remainder of 44.
  4. Continue Division Process: Since there is still a remainder, we continue the division process.\newlineCalculation: We bring down another zero to the remainder to continue the division. Now we have 4040 to divide by 1111.
  5. Divide 4040 by 1111: Divide 4040 by 1111.\newlineCalculation: 40÷11=340 \div 11 = 3 with a remainder of 77.
  6. Identify Repeating Remainders: Notice the pattern of remainders. We have a repeating remainder of 77, which means the division will cycle through the same sequence of numbers.\newlineCalculation: The decimal part of the quotient will repeat the sequence "6363" indefinitely.
  7. Write Decimal Equivalent: Write the decimal equivalent with the repeating sequence.\newlineCalculation: The decimal equivalent of 2911\frac{29}{11} is 2.632.\overline{63} with the 63\overline{63} part repeating.

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