Convert the fraction below into a decimal (1)/(11) Edit the repeating and non-repeating part of the decimal: 0.

Perform Long Division: To convert the fraction 1/11 into a decimal, we can perform long division by dividing the numerator by the denominator.Set Up Division: We set up the division by placing 1 as the dividend inside the division bracket and 11 as the divisor outside the bracket. Since 1 is less than 11, we add a decimal point to the dividend and add a zero to make it 10.Divide 1 by 11: Now we ask how many times does 11 go into 10. Since it doesn't, we write down 0 in the quotient place above the division bracket and add another zero to the dividend, making it 100.Write Down Quotient: 11 goes into 100 exactly 9 times, so we write down 9 in the quotient place after the decimal point. We then multiply 9 by 11 to get 99 and subtract this from 100, leaving us with a remainder of 1.Repeat Process Indefinitely: We add another zero to the remainder to get 10 and repeat the process. Again, 11 does not go into 10, so we write down another 0 in the quotient and add another zero to make it 100.This process will continue indefinitely, with 11 going into 100 exactly 9 times, and each time leaving a remainder that leads to another 100. This means that the decimal will repeat the digit 9.

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Q. Convert the fraction below into a decimal

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\frac{1}{11}

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Edit the repeating and non-repeating part of the decimal:

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0.\square\overline{\square}

Perform Long Division: To convert the fraction $\frac{1}{11}$ into a decimal, we can perform long division by dividing the numerator by the denominator.
Set Up Division: We set up the division by placing $1$ as the dividend inside the division bracket and $11$ as the divisor outside the bracket. Since $1$ is less than $11$ , we add a decimal point to the dividend and add a zero to make it $10$ .
Divide $1$ by $11$ : Now we ask how many times does $11$ go into $10$ . Since it doesn't, we write down $0$ in the quotient place above the division bracket and add another zero to the dividend, making it $100$ .
Write Down Quotient: $11$ goes into $100$ exactly $9$ times, so we write down $9$ in the quotient place after the decimal point. We then multiply $9$ by $11$ to get $99$ and subtract this from $100$ , leaving us with a remainder of $1$ .
Repeat Process Indefinitely: We add another zero to the remainder to get $10$ and repeat the process. Again, $11$ does not go into $10$ , so we write down another $0$ in the quotient and add another zero to make it $100$ .
Repeat Process Indefinitely: We add another zero to the remainder to get $10$ and repeat the process. Again, $11$ does not go into $10$ , so we write down another $0$ in the quotient and add another zero to make it $100$ .This process will continue indefinitely, with $11$ going into $100$ exactly $9$ times, and each time leaving a remainder that leads to another $100$ . This means that the decimal will repeat the digit $9$ .