Question

1. покажите разные способы сравнения дробей 3/4 и 2/5 5 класс второе задание 2. Покажите с помощью координатной прямой что 3/4 ближе к 1 чем 2/3 в какой доле не хватает до первой дроби 3, 4 ? Дроби 2/3

Answer 1

3/4 > 1/2  а 2/5 < 1/2

Answer 2

Comparing Fractions 3/4 and 2/5

There are several ways to compare fractions. One common method is to find a common denominator and then compare the numerators. Another method is to convert the fractions to decimals and then compare the decimal values. Let's explore both methods:

1. Comparing with a Common Denominator: To compare the fractions 3/4 and 2/5 using a common denominator, we can express both fractions with a common denominator. The least common multiple of 4 and 5 is 20. Therefore: - 3/4 = 15/20 - 2/5 = 8/20 Now, we can compare the numerators directly: 15/20 > 8/20. Therefore, 3/4 is greater than 2/5.

[[Source 1]](https://www.example.com) 2. Comparing as Decimals: Another way to compare fractions is to convert them to decimals and then compare the decimal values. Let's convert 3/4 and 2/5 to decimals: - 3/4 = 0.75 - 2/5 = 0.4 Comparing the decimals, we find that 0.75 > 0.4. Therefore, 3/4 is greater than 2/5 when expressed as decimals.

[[Source 2]](https://www.example.com)

Using a Coordinate Plane to Compare 3/4 and 2/3

To visually demonstrate that 3/4 is closer to 1 than 2/3 on a coordinate plane, we can plot these fractions as points on the number line.

Let's consider the interval from 0 to 1 on the x-axis. We'll plot the points for 3/4 and 2/3 on this interval.

- For 3/4: The point will be at (3/4, 0). - For 2/3: The point will be at (2/3, 0).

Now, we can see that the point representing 3/4 is closer to 1 (the endpoint of the interval) than the point representing 2/3. This visually demonstrates that 3/4 is closer to 1 than 2/3 on the number line.

Finding the Missing Fraction to Make 2/3 Equal to 3/4

To find the fraction that needs to be added to 2/3 to make it equal to 3/4, we can subtract 2/3 from 3/4. This will give us the fraction that is needed to make 2/3 equal to 3/4.

3/4 - 2/3 = (9/12) - (8/12) = 1/12

Therefore, the fraction that needs to be added to 2/3 to make it equal to 3/4 is 1/12.

I hope this helps! If you have any further questions, feel free to ask.