Write $$ \frac{14}{11} $$ as a decimal.

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1. We begin by writing the fraction as a division:

$$
\frac{14}{11} = 14 \div 11
$$

2. Since $$11$$ goes into $$14$$ one time, we have:

$$
1 \times 11 = 11
$$
$$
14 - 11 = 3 \quad \text{(remainder)}
$$

Thus, $$ \frac{14}{11} = 1 + \frac{3}{11} $$.

3. To convert the fractional part $$\frac{3}{11}$$ into a decimal, we perform the division:

- Write $$3$$ as $$3.000\ldots$$ and divide by $$11$$.

4. Dividing step-by-step:

- **Step 1:** $$11$$ goes into $$30$$ (after bringing down a $$0$$) $$2$$ times because:
     
     $$
     2 \times 11 = 22
     $$
     
     Subtracting:
     
     $$
     30 - 22 = 8
     $$
     
     So far, the decimal is $$1.2\ldots$$.

- **Step 2:** Bring down another $$0$$ to the remainder $$8$$ to get $$80$$. $$11$$ goes into $$80$$ $$7$$ times because:
     
     $$
     7 \times 11 = 77
     $$
     
     Subtracting:
     
     $$
     80 - 77 = 3
     $$
     
     Now, the decimal is $$1.27\ldots$$.

- **Step 3:** The remainder is again $$3$$. Repeating the process will yield the same sequence of digits ($$2$$ then $$7$$).

5. We see the digits $$2$$ and $$7$$ repeat indefinitely. Therefore, the decimal representation is:

$$
1.\overline{27}
$$

Thus, $$ \frac{14}{11} $$ written as a decimal is $$ 1.\overline{27} $$.
$$ \frac{14}{11} $$ as a decimal is $$ 1.\overline{27} $$.

Write \( \frac{14}{11} \) as a decimal.

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