以 分之七除以二分之五等于多少？

在数学中，我们经常会遇到各种各样的分数运算问题。今天让我们一起来解答这个关键问题，即"以 分之七除以二分之五等于多少？"

首先，我们将这个问题转化为数学表达式：7/2 ÷ 2/5。在处理这个问题之前，我们需要了解一些基本的分数运算规则。

英文翻译对照：

What is the result of dividing seven by two-fifths?

In mathematics, we often encounter various fraction operations. Today, let's solve the key question together: "What is the result of dividing seven by two-fifths?"

Firstly, let's convert this problem into a mathematical expression: 7/2 ÷ 2/5. Before tackling this problem, we need to understand some basic rules of fraction operations.

接下来，我们需要记住两个重要的规则。第一，除法可以转换为乘法，即 a/b ÷ c/d = a/b × d/c。第二，分数的除法可以简化为分子相乘，分母相乘，也就是 a/b ÷ c/d = a/b × d/c = ad/bc。

现在，我们可以将上述公式应用于我们的问题。将 7/2 ÷ 2/5 转换为乘法操作，变为 7/2 × 5/2。按照规则，我们可以将分子相乘（7×5=35），分母相乘（2×2=4）。所以，答案是 35/4。

英文翻译对照：

Next, we need to remember two important rules. First, division can be converted into multiplication, that is, a/b ÷ c/d = a/b × d/c. Second, the division of fractions can be simplified by multiplying the numerators and denominators, which means a/b ÷ c/d = a/b × d/c = ad/bc.

Now, we can apply the above formula to our problem. We convert 7/2 ÷ 2/5 into a multiplication operation, which becomes 7/2 × 5/2. Following the rules, we multiply the numerators (7×5=35) and the denominators (2×2=4). Therefore, the answer is 35/4.

然而，分数可以进一步简化。我们将 35/4 进行约分，找到它的最大公约数。35 和 4 的最大公约数是 1。通过将分子和分母同时除以最大公约数，我们得到最简形式的答案。

35 ÷ 1 = 35

4 ÷ 1 = 4

所以，最简形式的结果是 35/4。

英文翻译对照：

However, fractions can be further simplified. We can reduce 35/4 by finding their greatest common divisor. The greatest common divisor of 35 and 4 is 1. By dividing both the numerator and denominator by the greatest common divisor, we get the answer in the simplest form.

35 ÷ 1 = 35

4 ÷ 1 = 4

Therefore, the result in the simplest form is 35/4.

在数学中，简化分数是非常重要的，因为最简形式可以更方便地进行计算和比较。在这个问题中，以 分之七除以二分之五等于 35/4。

英文翻译对照：

In mathematics, simplifying fractions is crucial because the simplest form makes calculations and comparisons more convenient. In this problem, dividing seven by two-fifths equals 35/4.

总结起来，以 分之七除以二分之五等于 35/4。通过理解分数运算的基本规则，并将其应用于这个问题，我们得到了最终的答案。希望这篇文章能够帮助你理解分数运算，并提高你的数学技巧！

英文翻译对照：

In summary, dividing seven by two-fifths equals 35/4. By understanding the basic rules of fraction operations and applying them to this problem, we have obtained the final answer. Hopefully, this article has helped you understand fraction operations and improve your mathematical skills!