The problem asks us to compare the fraction $\frac{49}{64}$ to the percentage $95\%$. We need to determine which sign, >, <, or =, makes the statement $\frac{49}{64} ? 95\%$ true.

ArithmeticFractionsPercentagesDecimal ConversionComparison
2025/4/15

1. Problem Description

The problem asks us to compare the fraction 4964\frac{49}{64} to the percentage 95%95\%. We need to determine which sign, >, <, or =, makes the statement 4964?95%\frac{49}{64} ? 95\% true.

2. Solution Steps

First, we need to convert the fraction 4964\frac{49}{64} to a decimal.
49640.765625\frac{49}{64} \approx 0.765625
Next, we need to convert the percentage 95%95\% to a decimal.
95%=95100=0.9595\% = \frac{95}{100} = 0.95
Now we compare the two decimals: 0.7656250.765625 and 0.950.95.
Since 0.765625<0.950.765625 < 0.95, we can conclude that 4964<95%\frac{49}{64} < 95\%.

3. Final Answer

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