八分之七是四分之三的多少倍

在数学世界中，我们经常遇到各种各样的比例和倍数关系。这些关系不仅仅是理论上的概念，它们在我们日常生活中也能发现。其中一个有趣的问题就是“八分之七是四分之三的多少倍”。

让我们从最基本的概念开始解析这个问题。首先，我们知道八分之七可以表示为8/7，四分之三可以表示为4/3。要弄清楚八分之七是四分之三的多少倍，我们可以将两个分数相除。

8/7 ÷ 4/3

当我们除以一个分数时，我们可以转换为乘以其倒数。所以上述等式可以转换为：

8/7 × 3/4 = 24/28

接着，我们可以简化这个分数。最大公约数（GCD）是24和28的公因数中最大的数。在这种情况下，最大公约数是4。将分子和分母都除以4，我们得到：

6/7

所以，答案是六分之七。八分之七是四分之三的六分之七倍。

English Translation:

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Eight Sevenths Over Three Fourths: How Many Times?

In the world of mathematics, we often encounter various proportions and multiples. These relationships are not only theoretical concepts, but they can also be found in our daily lives. One interesting question is "How many times is eight sevenths over three fourths?"

Let's start by analyzing this question from the most basic concept. Firstly, we know that eight sevenths can be represented as 8/7 and three fourths can be represented as 4/3. To determine how many times eight sevenths is of three fourths, we can divide the two fractions.

8/7 ÷ 4/3

When we divide by a fraction, we can convert it to multiplication by its reciprocal. So, the equation above can be converted to:

8/7 × 3/4 = 24/28

Next, we can simplify this fraction. The greatest common divisor (GCD) is the largest number that divides both 24 and 28. In this case, the greatest common divisor is 4. By dividing both the numerator and denominator by 4, we get:

6/7

Therefore, the answer is six sevenths. Eight sevenths is six sevenths times three fourths.