Select the decimal that is equivalent to
\[\dfrac{41}{90}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.36\]
A
\[0.36\]
(Choice B)
\[0.\overline{36}\]
B
\[0.\overline{36}\]
(Choice C)
\[0.45\]
C
\[0.45\]
(Choice D)
\[0.4\overline{5}\]
D
\[0.4\overline{5}\]
(Choice E) None of the above
E
None of the above
I apologize for the mistake. Let's try again.
To convert the fraction $\frac{41}{90}$ to a decimal, divide 41 by 90:
$$\begin{array}{c|cc} 90 & \multicolumn{2}{r}{41} \\ \cline{2-3} 90 & 0&. \\ \cline{2-2} 0 &&41 \\ 90 &&------ \\ 410 && 0 \\ \end{array}$$
The result is $0.4\overline{5}$. Therefore, the answer is $\boxed{\text{(D)}\ 0.4\overline{5}}$.
To convert the fraction $\frac{41}{90}$ to a decimal, we divide 41 by 90:
$$\begin{array}{c|cc} 90 & \multicolumn{2}{r}{41} \\ \cline{2-3} 90 & 0&. \\ \cline{2-2} 0 &&4 \\ 90 & 4 &. \\ \cline{2-3} 90 && 40 \\ 90 &&------ \\ 0 &&10 \\ 90 &&------ \\ 100 && 0 \\ \end{array}$$
The remainder is always 0 after each division, so the decimal representation of $\frac{41}{90}$ is $0.\overline{4}$, which means the answer is $\boxed{\text{(E)}\ \text{None of the above}}$.
wrong
To find the decimal equivalent of a fraction, divide the numerator (top number) by the denominator (bottom number). Let's calculate the decimal equivalent of \(\frac{41}{90}\).
Divide 41 by 90 using long division:
```
45
-----------
90 | 41
- 36
-----
50
- 45
-----
5
```
The division result is 0.45, so the decimal equivalent of \(\frac{41}{90}\) is 0.45. Since option C corresponds to 0.45, the correct answer is (Choice C) 0.45.