fractional division

简明释义

小数

英英释义

例句

1.Teachers often use visual aids to explain fractional division 分数除法 to younger students.

教师们常常使用视觉辅助工具向年轻学生解释fractional division分数除法。

2.When calculating the area of a circle, understanding fractional division 分数除法 is essential for accurate results.

在计算圆的面积时，理解fractional division分数除法对于获得准确结果是至关重要的。

3.The recipe requires a fractional division 分数除法 of the ingredients to serve more people.

这个食谱需要对配料进行fractional division分数除法，以便为更多人服务。

4.In finance, fractional division 分数除法 helps in dividing profits among partners based on their investments.

在金融领域，fractional division分数除法有助于根据合伙人的投资份额来分配利润。

5.In mathematics class, we learned about fractional division 分数除法 and how to divide fractions by whole numbers.

在数学课上，我们学习了关于fractional division分数除法的知识，以及如何用整数除以分数。

作文

In mathematics, the concept of fractional division refers to the process of dividing a number by a fraction or, conversely, dividing a fraction by a whole number. This method may initially seem complex, but with a clear understanding of the underlying principles, it becomes manageable and even intuitive. To grasp the essence of fractional division, we must first break down the operations involved in this mathematical process.When we talk about dividing by a fraction, it is essential to remember that dividing by a fraction is equivalent to multiplying by its reciprocal. For instance, if we have the problem of dividing 10 by 1/2, we can rewrite this as 10 multiplied by the reciprocal of 1/2, which is 2. Thus, 10 ÷ (1/2) = 10 × 2 = 20. This transformation simplifies the operation and allows us to arrive at the correct answer more easily.On the other hand, when we consider fractional division in the context of dividing a fraction by a whole number, the process is slightly different but still straightforward. For example, if we want to divide 3/4 by 2, we can express this division as 3/4 ÷ 2. To solve this, we can again utilize the concept of reciprocals. Dividing by 2 is the same as multiplying by 1/2. Therefore, we can rewrite the expression as 3/4 × 1/2. The multiplication of these two fractions yields 3/8, which is the final result.Understanding fractional division is crucial not only for academic purposes but also for real-life applications. For instance, when cooking or baking, recipes often require adjustments based on the number of servings. If a recipe calls for 3/4 cup of sugar but you want to make half the recipe, you would need to perform a fractional division operation to determine how much sugar to use. By dividing 3/4 by 2, you would find that you need 3/8 cup of sugar, demonstrating how this mathematical concept translates into practical situations.Moreover, fractional division plays a significant role in various fields such as engineering, finance, and science. Engineers often work with measurements that involve fractions, and understanding how to manipulate these fractions through division is essential for accurate calculations. In finance, individuals may encounter scenarios where they need to divide investments or profits represented as fractions, making a solid grasp of fractional division indispensable.In conclusion, fractional division is a fundamental mathematical operation that involves dividing numbers and fractions in a way that can be simplified through the use of reciprocals. Whether in academic settings or practical applications, mastering this concept enhances our ability to solve problems effectively. As we continue to encounter fractions in various aspects of life, the importance of fractional division cannot be overstated, making it a valuable skill to develop and refine over time.

在数学中，分数除法的概念是指将一个数除以一个分数，或相反，将一个分数除以一个整数的过程。这种方法最初可能看起来很复杂，但通过对其基本原理的清晰理解，它变得可管理甚至直观。要掌握分数除法的本质，我们必须首先分解这一数学过程中的操作。当我们谈论用分数进行除法时，重要的是要记住，除以一个分数等同于乘以它的倒数。例如，如果我们有将10除以1/2的问题，我们可以将其重写为10乘以1/2的倒数，即2。因此，10 ÷ (1/2) = 10 × 2 = 20。这一转换简化了操作，使我们能够更轻松地得出正确答案。另一方面，当我们考虑在将一个分数除以一个整数的上下文中进行分数除法时，过程略有不同，但仍然相对简单。例如，如果我们想将3/4除以2，我们可以将此除法表示为3/4 ÷ 2。要解决这个问题，我们可以再次利用倒数的概念。除以2等同于乘以1/2。因此，我们可以将表达式重写为3/4 × 1/2。这两个分数的乘积得到3/8，这是最终结果。理解分数除法不仅对学术目的至关重要，而且对现实生活中的应用也至关重要。例如，在烹饪或烘焙时，食谱通常需要根据份数进行调整。如果一个食谱要求使用3/4杯糖，但你想做一半的食谱，你需要进行分数除法操作来确定需要使用多少糖。通过将3/4除以2，你会发现需要3/8杯糖，这表明这一数学概念如何转化为实际情况。此外，分数除法在工程、金融和科学等各个领域中发挥着重要作用。工程师经常处理涉及分数的测量，而理解如何通过除法来操作这些分数对于准确计算至关重要。在金融领域，个人可能会遇到需要将投资或利润表示为分数的场景，因此扎实掌握分数除法是不可或缺的。总之，分数除法是一种基本的数学运算，涉及以可以通过使用倒数简化的方式对数字和分数进行除法。无论是在学术环境还是实际应用中，掌握这一概念都增强了我们有效解决问题的能力。随着我们在生活的各个方面继续遇到分数，分数除法的重要性不容小觑，使其成为一个值得发展和完善的宝贵技能。