The problem asks us to compare $60\%$ with $\frac{4}{5}$ and determine which of the signs $>, <, =$ makes the statement true: $60\% ? \frac{4}{5}$.

ArithmeticPercentagesFractionsComparison
2025/4/15

1. Problem Description

The problem asks us to compare 60%60\% with 45\frac{4}{5} and determine which of the signs >,<,=>, <, = makes the statement true: 60%?4560\% ? \frac{4}{5}.

2. Solution Steps

First, we convert 60%60\% to a fraction. We know that percent means "out of one hundred", so 60%=6010060\% = \frac{60}{100}. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is
2

0. So, $\frac{60}{100} = \frac{60 \div 20}{100 \div 20} = \frac{3}{5}$.

Now, we compare 35\frac{3}{5} with 45\frac{4}{5}.
Since they have the same denominator, we just compare their numerators.
Since 3<43 < 4, we have 35<45\frac{3}{5} < \frac{4}{5}.
Therefore, 60%<4560\% < \frac{4}{5}.

3. Final Answer

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