2024年4月7日发(作者：)

分子两数相乘,分母两数相乘裂项

英文版

When multiplying fractions, we simply multiply the numerators together to get the

new numerator, and multiply the denominators together to get the new denominator. This

process is straightforward and easy to understand.

For example, if we have the fractions 2/3 and 4/5, we can multiply them together by

multiplying the numerators (2 * 4 = 8) and the denominators (3 * 5 = 15) to get the result

8/15.

However, sometimes when multiplying fractions, we encounter a phenomenon

known as "cross-multiplication" or "splitting the terms." This occurs when the numerator

of one fraction is multiplied by the denominator of the other fraction, and vice versa.

Using the same example of 2/3 and 4/5, if we cross-multiply instead of multiplying

straight across, we get (2 * 5 = 10) and (3 * 4 = 12). The result is 10/12, which can be

simplified to 5/6.

This method of cross-multiplication can be useful when dealing with more complex

fractions or when simplifying fractions. It is a handy trick to have in your mathematical

toolkit.

分子两数相乘,分母两数相乘裂项

当我们相乘分数时，我们只需要将分子相乘得到新的分子，将分母相乘得到新

的分母。这个过程简单明了，容易理解。

例如，如果我们有分数2/3和4/5，我们可以将它们相乘，将分子相乘（2 * 4 =

8），将分母相乘（3 * 5 = 15），得到结果8/15。

然而，有时当我们相乘分数时，我们会遇到一种现象，称为“裂项”或“交叉相

乘”。这发生在一个分数的分子与另一个分数的分母相乘，反之亦然。

使用同样的例子2/3和4/5，如果我们交叉相乘而不是直接相乘，我们得到（2

* 5 = 10）和（3 * 4 = 12）。结果是10/12，可以简化为5/6。

这种交叉相乘的方法在处理更复杂的分数或简化分数时很有用。这是你数学工

具箱中一个很方便的技巧。