Question

Помогите была новая тема про дроби я плохо поняла помогите пожалуйста! верно ли равенство:20/28=30/36 спасибо

Answer 1

Их нельзя сравнивать

Answer 2

20/28*14=280/504
30/36*14=420/504
280/504<420/504

Answer 3

Understanding Fractions

Fractions are a way to represent a part of a whole or a ratio between two numbers. They consist of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole.

In the given equation, we have the fraction 20/28 on the left side and the fraction 30/36 on the right side. The question is whether these two fractions are equal.

Simplifying Fractions

To determine if two fractions are equal, we can simplify them by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.

Let's simplify the fractions 20/28 and 30/36 to see if they are equal.

The GCD of 20 and 28 is 4, so we can divide both the numerator and the denominator of 20/28 by 4: 20/28 = 5/7

The GCD of 30 and 36 is 6, so we can divide both the numerator and the denominator of 30/36 by 6: 30/36 = 5/6

Comparing the Simplified Fractions

Now that we have simplified the fractions, we can compare them to see if they are equal: 5/7 = 5/6

Conclusion

The equation 20/28 = 30/36 is not true. The simplified fractions 5/7 and 5/6 are not equal.

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