The problem asks us to compare the fraction $\frac{58}{80}$ with the percentage $32.6\%$ and determine which of the following signs ($>$, $<$, or $=$) makes the statement true.

ArithmeticFractionsPercentagesDecimal ConversionComparison
2025/4/16

1. Problem Description

The problem asks us to compare the fraction 5880\frac{58}{80} with the percentage 32.6%32.6\% and determine which of the following signs (>>, <<, or ==) makes the statement true.

2. Solution Steps

First, we convert the fraction 5880\frac{58}{80} into a decimal.
5880=2940=0.725\frac{58}{80} = \frac{29}{40} = 0.725
Next, we convert the decimal to a percentage by multiplying by 100100.
0.725×100=72.5%0.725 \times 100 = 72.5\%
Now we compare 72.5%72.5\% with 32.6%32.6\%.
Since 72.5>32.672.5 > 32.6, we have 72.5%>32.6%72.5\% > 32.6\%.
Therefore, 5880>32.6%\frac{58}{80} > 32.6\%.

3. Final Answer

>>

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