The problem asks us to compare the fraction $\frac{21}{48}$ with the percentage 58%. We need to determine whether $\frac{21}{48}$ is greater than, less than, or equal to 58%.

ArithmeticFractionsPercentagesDecimal ConversionComparison
2025/4/16

1. Problem Description

The problem asks us to compare the fraction 2148\frac{21}{48} with the percentage 58%. We need to determine whether 2148\frac{21}{48} is greater than, less than, or equal to 58%.

2. Solution Steps

First, we need to convert the fraction 2148\frac{21}{48} to a decimal.
2148=716\frac{21}{48} = \frac{7}{16}
To convert this fraction to a decimal, we divide 7 by 16:
7÷16=0.43757 \div 16 = 0.4375
Now, we convert the decimal to a percentage by multiplying by 100:
0.4375×100=43.75%0.4375 \times 100 = 43.75\%
Now we can compare the two percentages: 43.75%43.75\% and 58%58\%.
Since 43.75<5843.75 < 58, we have 2148<58%\frac{21}{48} < 58\%.

3. Final Answer

The correct sign is "<".

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