Question

Ребята помогите! Дам 10 баллов кто мне объяснит, как обыкновенную дробь превратить в десятичную,а десятичную в обыкновенную Прошу очень! Чтобы с примерами, четко

Answer 1

Что бы перевести в десятичную дробь нужно верхнее число разделить на нижнее 2/5=2:5=0, 4
Тк как десятичная дробь читается так: ноль целыйх четыре десятых то дробь будет такой же четыре десятых 4/10 ее можно сократить (и верхняя часть и нидняя делятся на 2) = 2/5

Answer 2

Converting a Fraction to a Decimal

To convert an ordinary fraction to a decimal, you can use division. Here's a step-by-step process:

1. Divide the numerator (the top number) by the denominator (the bottom number). 2. Keep dividing until you either reach a repeating decimal or the desired level of precision.

Let's look at an example to illustrate this process:

Example 1: Converting 3/4 to a decimal

1. Divide 3 by 4: 3 ÷ 4 = 0.75. 2. The result is 0.75, which is a terminating decimal. Therefore, 3/4 as a decimal is 0.75.

Example 2: Converting 5/6 to a decimal

1. Divide 5 by 6: 5 ÷ 6 = 0.833333... 2. The result is a repeating decimal, where the digit 3 repeats infinitely. Therefore, 5/6 as a decimal is 0.83 (rounded to two decimal places) or 0.8333... (exact representation).

Converting a Decimal to a Fraction

To convert a decimal to an ordinary fraction, you can follow these steps:

1. Identify the place value of the decimal part. 2. Write the decimal as a fraction with the decimal part as the numerator and the appropriate power of 10 as the denominator. 3. Simplify the fraction if possible.

Let's look at an example to understand this process:

Example 1: Converting 0.6 to a fraction

1. The decimal part is in the tenths place. 2. Write 0.6 as a fraction: 0.6 = 6/10. 3. Simplify the fraction: 6/10 can be simplified to 3/5. Therefore, 0.6 as a fraction is 3/5.

Example 2: Converting 0.375 to a fraction

1. The decimal part is in the thousandths place. 2. Write 0.375 as a fraction: 0.375 = 375/1000. 3. Simplify the fraction: 375/1000 can be simplified to 3/8. Therefore, 0.375 as a fraction is 3/8.

Remember that not all decimals can be expressed as exact fractions. Some decimals, like irrational numbers, have non-repeating and non-terminating decimal representations.

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