Select the decimal that is equivalent to
\[\dfrac{57}{220}\].
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[0.2590\]
A
\[0.2590\]
(Choice B)
\[0.25\overline{90}\]
B
\[0.25\overline{90}\]
(Choice C)
\[0.2818\]
C
\[0.2818\]
(Choice D)
\[0.2\overline{818}\]
D
\[0.2\overline{818}\]
(Choice E) None of the above
E
None of the above
I apologize for the mistake. Let me correct it:
To convert a fraction to a decimal, divide the numerator by the denominator.
Dividing 57 by 220, we get:
\[0.2590\]
So, the decimal that is equivalent to \[\dfrac{57}{220}\] is \[\boxed{\text{(A) } 0.2590}.\]
To convert a fraction to a decimal, divide the numerator by the denominator.
Using long division,
$\begin{array}{c|cc} & 2 & 2 \\ \cline{2-3} 57 & \big) 22000 \\ & 171 \\ \cline{2-2} & 490 \\ & 456 \\ \cline{3-3} & & 340 \\ & & 285 \\ \cline{4-4} & & & 550 \\ & & & 513 \\ \cline{4-4} & & & & 370 \\ & & & & 342 \\ \cline{5-5} & & & & & 2800 \\ & & & & & 2280 \\ \cline{6-6} & & & & & 520 \\ \end{array}$
The remainder cycles starting from 171, 456, 285, 513, 342, and then back to 171. Since the remainder cycles, we can write the decimal as a repeating decimal.
Therefore, $\dfrac{57}{220} = 0.2\overline{590}$.
Among the given options, the decimal that is equivalent to $\dfrac{57}{220}$ is $\boxed{\text{(E) None of the above}}$.
wrong
To find the decimal that is equivalent to \(\frac{57}{220}\), you can divide the numerator by the denominator. Here's how you can do it:
1. Divide 57 by 220:
\[57 \div 220 = 0.259090909...\]
2. The decimal value repeats the pattern "90" after the second digit. The bar over the "90" indicates that the pattern repeats indefinitely.
Therefore, the decimal equivalent of \(\frac{57}{220}\) is \(\boxed{\text{(B) } 0.25\overline{90}}\).