fraction in lowest terms

简明释义

最简分式

英英释义

例句

1.A fraction in lowest terms (最简分数) cannot be simplified any further.

一个最简分数（fraction in lowest terms）不能再进一步简化。

2.In mathematics, it is essential to write your answer as a fraction in lowest terms (最简分数) to avoid confusion.

在数学中，重要的是将你的答案写成最简分数（fraction in lowest terms），以避免混淆。

3.When simplifying the fraction 8/12, you should express it as a fraction in lowest terms (最简分数) which is 2/3.

当简化分数8/12时，你应该将其表示为最简分数（fraction in lowest terms），即2/3。

4.To solve this problem, make sure to convert all fractions to fractions in lowest terms (最简分数).

要解决这个问题，确保将所有分数转换为最简分数（fractions in lowest terms）。

5.The teacher asked us to find the fraction in lowest terms (最简分数) for 15/45.

老师让我们找出15/45的最简分数（fraction in lowest terms）。

作文

Understanding fractions is a fundamental aspect of mathematics that students encounter early in their education. One important concept related to fractions is the idea of a fraction in lowest terms. This term refers to a fraction that has been simplified so that the numerator and denominator have no common factors other than one. For example, the fraction 8/12 can be simplified to 2/3, which is its fraction in lowest terms. Learning how to simplify fractions is crucial for students because it helps them perform operations more easily, compare fractions, and understand the relationships between different values.To simplify a fraction, one must find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both numbers without leaving a remainder. Once the GCD is identified, both the numerator and the denominator can be divided by this number to achieve the fraction in lowest terms. For instance, in the fraction 15/25, the GCD is 5. Dividing both the numerator and the denominator by 5 gives us 3/5, the fraction in lowest terms.The importance of expressing fractions in their lowest terms cannot be overstated. It not only simplifies calculations but also provides a clearer understanding of the fraction's value. When fractions are not in their simplest form, they can be misleading and harder to work with. For example, if someone were to compare 6/8 and 3/4, they might mistakenly think that 6/8 is larger. However, when both fractions are simplified to their fraction in lowest terms, we see that they are equivalent, as 6/8 simplifies to 3/4.In real-world applications, knowing how to convert a fraction to its lowest terms is essential. Whether in cooking, construction, or finance, fractions often represent parts of a whole. For instance, if a recipe calls for 4/8 of a cup of sugar, simplifying this to 1/2 of a cup makes it easier to measure and understand. Similarly, in construction, if a piece of wood is cut into lengths of 9/12 feet, recognizing that this is equivalent to 3/4 feet can help workers communicate measurements more effectively.Moreover, teaching students about fraction in lowest terms encourages critical thinking and problem-solving skills. It requires them to analyze numbers and understand their relationships, fostering a deeper comprehension of mathematical concepts. As students progress in their studies, they will encounter more complex mathematical problems where simplifying fractions will be necessary. Therefore, mastering the concept of a fraction in lowest terms lays a strong foundation for future learning.In conclusion, the concept of a fraction in lowest terms is an essential part of understanding fractions in mathematics. It simplifies calculations, aids in comparison, and enhances clarity in communication. By teaching students how to simplify fractions, we equip them with valuable skills that they will use throughout their lives. Understanding this concept not only prepares them for advanced mathematical topics but also helps them navigate everyday situations that involve fractions. Ultimately, the ability to express fractions in their lowest terms is a key component of mathematical literacy that should be emphasized in educational curricula.

理解分数是学生在教育早期遇到的数学基本方面之一。与分数相关的一个重要概念是最简分数的概念。这个术语指的是一个分数经过简化后，分子和分母没有其他共同因子，除了1。例如，分数8/12可以简化为2/3，这就是它的最简分数。学习如何简化分数对学生来说至关重要，因为这有助于他们更轻松地进行运算、比较分数以及理解不同值之间的关系。要简化一个分数，必须找到分子和分母的最大公约数（GCD）。GCD是能够整除两个数且不留余数的最大数字。一旦找到GCD，就可以用这个数字分别除以分子和分母，从而得到最简分数。例如，在分数15/25中，GCD是5。将分子和分母都除以5，我们得到3/5，即最简分数。将分数表示为最简形式的重要性不可低估。它不仅简化了计算，而且提供了对分数值的更清晰理解。当分数不在其最简形式时，它们可能会误导并且更难处理。例如，如果有人比较6/8和3/4，他们可能错误地认为6/8更大。然而，当这两个分数简化为最简分数时，我们会看到它们是等价的，因为6/8简化为3/4。在实际应用中，知道如何将分数转换为最简形式是必不可少的。无论是在烹饪、建筑还是金融中，分数通常代表整体的一部分。例如，如果一个食谱需要4/8杯糖，将其简化为1/2杯会使测量和理解变得更容易。同样，在建筑中，如果一块木头被切割成9/12英尺的长度，认识到这相当于3/4英尺可以帮助工人更有效地沟通测量。此外，教学生关于最简分数的知识还鼓励批判性思维和解决问题的能力。这要求他们分析数字并理解它们之间的关系，从而促进对数学概念的更深入理解。随着学生在学习中不断进步，他们将遇到更多复杂的数学问题，简化分数将是必要的。因此，掌握最简分数的概念为未来的学习奠定了坚实的基础。总之，最简分数的概念是理解数学中分数的重要组成部分。它简化了计算，有助于比较，并提高了沟通的清晰度。通过教导学生如何简化分数，我们赋予他们在生活中使用的宝贵技能。理解这一概念不仅为他们准备了更高级的数学主题，而且还帮助他们应对涉及分数的日常情况。最终，以最简形式表达分数的能力是数学素养的关键组成部分，应在教育课程中强调。