Question

Как найти десятичное разложение обыкновенной дроби? Обьясните пж я тупой

Answer 1

Объяснение:

нужно, чтобы в знаменателе было число 10, 100, 1000, 10000 и тд

например: 2/10, значит это будет 0,2

если у нас дробь например 4/20 и нам нужно перевести в десятичную, то получается мы смотрим, сколько 20 не хватает до 100 и видим, если умножить 20 на 4, будет 100, но числитель мы тоже оставить не можем, значит его мы тоде умножаем на 4, получается, 16/100 значит 0,16

Answer 2

How to Find the Decimal Expansion of a Fraction

Finding the decimal expansion of a fraction involves converting the fraction into a decimal representation. Here's a step-by-step process to help you understand how to do it:

1. Divide the numerator by the denominator: Divide the numerator (the top number) of the fraction by the denominator (the bottom number). This will give you the whole number part of the decimal expansion.

2. Determine the decimal part: After finding the whole number part, you need to determine the decimal part of the expansion. To do this, you can either perform long division or use a calculator.

- Long Division Method: Write down the numerator as the dividend and the denominator as the divisor. Perform long division as you would with whole numbers, but continue the division until you either reach the desired level of precision or identify a repeating pattern.

- Calculator Method: If you have access to a calculator, you can simply divide the numerator by the denominator and obtain the decimal expansion.

3. Identify repeating patterns: If the decimal expansion is a repeating decimal, you will notice a pattern of digits that repeats indefinitely. To identify the repeating pattern, look for a sequence of digits that repeats after a certain point.

For example, if you have a fraction like 1/3, the decimal expansion is 0.3333..., where the digit 3 repeats infinitely.

4. Express the repeating pattern: To express the repeating pattern, you can use a bar notation. Place a bar over the repeating digits to indicate that they repeat indefinitely.

For example, the decimal expansion of 1/3 can be expressed as 0.3̅, where the digit 3 repeats.

It's important to note that not all fractions have a finite decimal expansion. Some fractions, such as 1/3 or 2/7, have repeating decimal expansions, while others, like 1/2 or 3/4, have finite decimal expansions.

I hope this explanation helps! Let me know if you have any further questions.