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$Convert the fraction below into a decimal (7)/(11) Edit the repeating and non-repeating part of the decimal: 0". "$

Convert the fraction below into a decimal $\newline$ $\frac{7}{11}$ $\newline$ Edit the repeating and non-repeating part of the decimal: $\newline$ $0.\square\overline{\square}$

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Q. Convert the fraction below into a decimal

\newline

\frac{7}{11}

\newline

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

\newline

0.\square\overline{\square}

Set Up Long Division: We start by setting up the long division of $7$ divided by $11$ . Since $7$ is less than $11$ , we add a decimal point to the quotient and add a zero to the dividend, making it $70$ .
Divide $70$ by $11$ : Now we divide $70$ by $11$ , which goes $6$ times because $6$ times $11$ is $66$ . We write $6$ after the decimal point in the quotient.
Subtract and Bring Down: Subtract $66$ from $70$ , which leaves us with a remainder of $4$ . We then add another zero to the remainder and bring it down, making it $40$ .
Divide $40$ by $11$ : Next, we divide $40$ by $11$ , which goes $3$ times because $3$ times $11$ is $33$ . We write $3$ after the $6$ in the quotient.
Repeat and Identify Pattern: Subtract $33$ from $40$ , which leaves us with a remainder of $7$ . We add another zero and bring it down, making it $70$ again.
Repeat and Identify Pattern: Subtract $33$ from $40$ , which leaves us with a remainder of $7$ . We add another zero and bring it down, making it $70$ again.We notice that we are repeating the same steps as before, which means the decimal will repeat the digit $3$ indefinitely. Therefore, the fraction $\frac{7}{11}$ as a decimal is $0.63$ with the $3$ repeating.