We are asked to compare the fraction $\frac{54}{64}$ to the percentage $56.18\%$ and determine the correct sign ($>$, $<$, or $=$) to make the statement true.

ArithmeticFractionsPercentagesDecimal ConversionComparison
2025/4/16

1. Problem Description

We are asked to compare the fraction 5464\frac{54}{64} to the percentage 56.18%56.18\% and determine the correct sign (>>, <<, or ==) to make the statement true.

2. Solution Steps

First, we convert the fraction 5464\frac{54}{64} to a decimal.
5464=2732=0.84375\frac{54}{64} = \frac{27}{32} = 0.84375
Next, we convert the decimal to a percentage by multiplying by
1
0

0. $0.84375 \times 100 = 84.375\%$

Now we can compare the two percentages: 84.375%84.375\% and 56.18%56.18\%.
Since 84.375>56.1884.375 > 56.18, we have that 5464>56.18%\frac{54}{64} > 56.18\%.

3. Final Answer

>>

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