Question

Как срвавнять дроби? Какая больше? Какая меньше? Какие равны?

Answer 1

Приводи их к общему знаменателю.

Вот пример.

две дроби - 3/4 и 4/5

для их сравнения надо привести здесь к общему знаменателю.

Общий знаменатель - НОК (наименьшее общее кратное), то есть такое наименьшее число, которое делится нацело и на первый знаменатель, и на второй.

В моем случае это 20. теперь ты каждую дроб доможаешь на такое число, чтобы в знаменателе появился НОК ( в моем случае 20)

Так, 3/4 ты умножаешь на 3 - это будет 15/20

4/5 умножаешь на 4 - это будет 16/20

Видно, что вторая дробь больше.

Answer 2

Comparing and Simplifying Fractions

To compare fractions, you can follow these steps:

1. Find a common denominator: To compare fractions, it's helpful to have a common denominator. This involves finding the least common multiple of the denominators of the fractions you want to compare.

2. Convert fractions to have the same denominator: Once you have a common denominator, you can convert the fractions so that they have the same denominator. This makes it easier to compare them.

3. Compare the numerators: After converting the fractions to have the same denominator, you can compare the numerators to determine which fraction is greater, lesser, or if they are equal.

Which Fraction is Greater, Lesser, or Equal?

- Greater Than: If the numerator of the first fraction multiplied by the denominator of the second fraction is greater than the numerator of the second fraction multiplied by the denominator of the first fraction, then the first fraction is greater than the second fraction.

- Less Than: If the numerator of the first fraction multiplied by the denominator of the second fraction is less than the numerator of the second fraction multiplied by the denominator of the first fraction, then the first fraction is less than the second fraction.

- Equal: If the numerator of the first fraction multiplied by the denominator of the second fraction is equal to the numerator of the second fraction multiplied by the denominator of the first fraction, then the two fractions are equal.

Example:

Let's compare the fractions 3/4 and 2/5.

1. Find a common denominator: The least common multiple of 4 and 5 is 20. 2. Convert the fractions: - 3/4 becomes 15/20 (multiplied by 5/5) - 2/5 becomes 8/20 (multiplied by 4/4) 3. Compare the numerators: - 15/20 > 8/20, so 3/4 is greater than 2/5.

Simplifying Fractions

To simplify a fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD). This will give you an equivalent fraction in its simplest form.

For example, to simplify the fraction 8/20: - The GCD of 8 and 20 is 4. - Dividing both the numerator and denominator by 4 gives 2/5, which is the simplified form of 8/20.

I hope this helps you understand how to compare and simplify fractions! If you have any more questions or need further clarification, feel free to ask.