To determine the number of which 495 is 55 percent, we can set up the equation as follows:
Let \( x \) be the unknown number. The equation that represents the problem is:
\[ 495 = 0.55x \]
We can manipulate this equation to find \( x \):
\[ x = \frac{495}{0.55} \]
Now, let's express this in a form that aligns with the fractions provided in your options.
To convert \( 0.55 \) to a fraction, we can write:
\[ 0.55 = \frac{55}{100} \]
Substituting this into our equation yields:
\[ 495 = \frac{55}{100} x \]
Now, multiplying both sides by \( 100 \) gives:
\[ 495 \times 100 = 55x \]
Now, solving for \( x \):
\[ x = \frac{49500}{55} \]
Thus, the original problem can be simplified as:
\[ x = \frac{495}{0.55} = \frac{49500}{55} \]
In terms of your provided options, none of the listed fractions directly correspond to the appropriate equation set up for solving this problem, as they appear to indicate different equality relationships and do not express the equation required for finding \( x \).
However, if you needed to translate it, we could interpret \( 55/495 \) as a representation of percentage calculation, but it wouldn't lead directly to \( x \) without conversion.
Thus, the correct equation to solve the original problem is:
\[ 495 = 0.55x \quad \text{or equivalently} \quad x = \frac{495}{0.55} \]
This does show the correct approach but you may need to clarify what you're asking about the given fractions.
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