write $\frac{4}{11}$ as a decimal. well use t...
write $\frac{4}{11}$ as a decimal. well use the division algorithm to express $\frac{4}{11}$ as a decimal. start by setting up the division algorithm. $\frac{4}{11}=?$
Answer
# Explanation:
## Step1: Perform long - division
$4\div11 = 0.3636\cdots$
We start with $4$ as the dividend and $11$ as the divisor. $11$ does not go into $4$, so we add a decimal point and a $0$ to make it $40$. $11$ goes into $40$ $3$ times ($11\times3 = 33$), with a remainder of $40 - 33=7$. We then add another $0$ to get $70$. $11$ goes into $70$ $6$ times ($11\times6 = 66$), with a remainder of $70 - 66 = 4$. This pattern repeats.
# Answer:
$0.\overline{36}$