Question

Мне срочно надо! 16. Махмуд считает, что дроби 18/8 и 9/4не равны, так как18:8 = 2 (ост.2), 9 : 4 = 1 (ост.1). Что вы на это скажете?​ РЕШИТЕ ПОЖАЛУЙСТА В ТЕТРАДИ ПОДРОБНО УМОЛЯЮ ЗАРАНЕЕ СПАСИБО!​

Answer 1

Ответ:

Пошаговое объяснение:

$\frac{18}{8 } =\frac{9*2}{4*2} =\frac{9}{4}$    дроби можно сократить и

они равны

Answer 2

Ответ:

одинаковые

Пошаговое объяснение

так как 9 разделить на 4 это будет 2,25 и 18 разделить на 8 будет 2,25

Answer 3

Comparing Fractions 18/8 and 9/4

Makhmud's reasoning for why the fractions 18/8 and 9/4 are not equal is based on the remainders obtained when dividing the numerators by the denominators. Let's explore this in detail.

When comparing fractions, it's important to ensure that they have the same denominator. In this case, we can convert both fractions to have a common denominator of 8.

Converting 9/4 to a fraction with a denominator of 8: To convert 9/4 to a fraction with a denominator of 8, we can multiply both the numerator and the denominator by 2. This gives us: 9/4 * 2/2 = 18/8.

Now, let's compare the fractions 18/8 and 9/4.

Comparing 18/8 and 9/4: Makhmud's argument is based on the remainders obtained when dividing the numerators by the denominators. He states that 18 divided by 8 equals 2 with a remainder of 2, and 9 divided by 4 equals 2 with a remainder of 1.

However, when comparing fractions, we should focus on the relationship between the numerators and denominators, not the remainders obtained from division.

The Relationship Between Numerators and Denominators: The fractions 18/8 and 9/4 are indeed equal. This can be verified by simplifying 18/8, which reduces to 9/4.

Therefore, the fractions 18/8 and 9/4 are equal, despite the remainders obtained when dividing the numerators by the denominators.

This understanding is crucial in mathematics, as it ensures that fractions are compared and evaluated accurately based on their numerical values, rather than the remainders from division.

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