Question

Прошу вас ! Научите представлять дроби на координатном луче... Желательно подробнее((( Просто я вообще в эту тему не въехала

Answer 1

Ну допустим есть дроби 1/2, 5/7,5/6,4/9,5/3
Все эти дроби надо привести к общему знаменателю и сравнить эти числа. 
1/2 = 7/14
5/7 = 10/14
Какое больше? 5/7
Визуально делишь единичный отрезок на 7 частей и ставишь число и так далее
0              1/2              1
|__|__|__|__|__|__|__|

Answer 2

Representing Fractions on a Number Line

Representing fractions on a number line can help us visualize and understand the relative size and position of different fractions. It allows us to see how fractions compare to each other and to whole numbers.

To represent a fraction on a number line, we need to divide the number line into equal parts based on the denominator of the fraction. The denominator represents the number of equal parts into which the whole is divided. For example, if we have the fraction 1/4, we would divide the number line into four equal parts.

Next, we locate the numerator on the number line. The numerator represents the number of parts we are considering. For example, if we have the fraction 1/4, we would locate the point that represents one part out of the four equal parts.

Let's take an example to illustrate this process. Suppose we want to represent the fraction 3/5 on a number line. Here's how we can do it:

1. Divide the number line into five equal parts. 2. Locate the point that represents three parts out of the five equal parts.

The resulting representation on the number line would show a point that is closer to 1 than to 0, indicating that the fraction 3/5 is greater than 1/2 but less than 1.

It's important to note that when representing fractions on a number line, we can also include whole numbers and other fractions to provide a broader context and comparison.

Example: Representing Fractions on a Number Line

Let's consider another example to further illustrate how to represent fractions on a number line. Suppose we want to represent the fractions 1/3, 2/3, and 4/3 on a number line.

1. Divide the number line into three equal parts. 2. Locate the point that represents one part out of the three equal parts for the fraction 1/3. 3. Locate the point that represents two parts out of the three equal parts for the fraction 2/3. 4. Locate the point that represents four parts out of the three equal parts for the fraction 4/3.

The resulting representation on the number line would show three points: one closer to 0, one closer to 1, and one beyond 1. This indicates that the fraction 1/3 is less than 1/2, the fraction 2/3 is greater than 1/2 but less than 1, and the fraction 4/3 is greater than 1.

Conclusion

Representing fractions on a number line can help us visualize and compare fractions. By dividing the number line into equal parts based on the denominator and locating the numerator on the number line, we can understand the relative size and position of different fractions. Remember to consider the context and comparison with other fractions and whole numbers when representing fractions on a number line.

I hope this explanation helps you understand how to represent fractions on a number line. If you have any further questions, feel free to ask!