As an expert in mathematical calculations, I can guide you through the process of finding what 65% of 80 is. Percentages are a way to express a number as a fraction of 100, which makes them incredibly useful for comparing parts of a whole. To find a certain percentage of a number, you can follow these steps:


1. Understand the Percentage: A percentage is a ratio with a denominator of 100. So, 65% means 65 per 100.


2. Convert the Percentage to a Fraction: To work with percentages in calculations, it's often easier to convert them to a fraction. In this case, 65% as a fraction is \( \frac{65}{100} \).


3. Simplify the Fraction: Before multiplying, it's a good idea to simplify the fraction if possible. The fraction \( \frac{65}{100} \) simplifies to \( \frac{13}{20} \) because both the numerator and the denominator can be divided by 5.


4. Multiply the Fraction by the Number: Now that you have a simplified fraction, you can multiply it by the number you're interested in. So, to find 65% of 80, you would multiply \( \frac{13}{20} \) by 80.


5. Perform the Calculation: Multiply the numerator of the fraction by the number and then divide by the denominator. This gives you \( \frac{13 \times 80}{20} \).


6. Simplify the Result: After performing the multiplication, you should simplify the result if necessary. In this case, \( 13 \times 80 = 1040 \), and when you divide 1040 by 20, you get 52.

So, the final answer is that 65% of 80 is 52.

Now, let's translate this explanation into Chinese:

作为数学计算领域的专家，我可以指导你通过以下步骤计算出80的65%是多少。百分比是表示一个数占100的比例，这使得它们在比较整体的一部分时非常有用。要找出某个数的特定百分比，你可以遵循以下步骤：


1. 理解百分比：百分比是分母为100的比率。因此，65%意味着每100个中有65个。


2. 将百分比转换为分数：在计算中使用百分比时，通常更容易将它们转换为分数。在这种情况下，65%作为一个分数是 \( \frac{65}{100} \)。


3. 简化分数：在进行乘法之前，如果可能的话，最好简化分数。在这种情况下，分数 \( \frac{65}{100} \) 可以简化为 \( \frac{13}{20} \)，因为分子和分母都可以被5整除。


4. 将分数乘以数字：现在你有了简化后的分数，你可以将它乘以你感兴趣的数字。因此，要找出80的65%，你需要将 \( \frac{13}{20} \) 乘以80。


5. 执行计算：将分数的分子乘以数字，然后除以分母。这给出了 \( \frac{13 \times 80}{20} \)。


6. 简化结果：执行乘法后，如果需要，应该简化结果。在这种情况下，\( 13 \times 80 = 1040 \)，当你将1040除以20时，你得到52。

因此，最终的答案是80的65%是52。

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65/100 * 80 = 52. Think of 65% as 65 out of 100. You can then multiply this percent by 80, to find 65% of 80.read more >>