Question

Составить пример деление дестичной дроби на обыкновенную дробь

Answer 1

8,2:2/8
4,56:7/49
2,74:1/70

Answer 2

Division of Decimal Fraction by a Common Fraction

To illustrate the division of a decimal fraction by a common fraction, let's consider the example of dividing the decimal fraction 3.11 by the common fraction 0.01.

The division can be performed as follows:

3.11 ÷ 0.01

To simplify the division, we can convert the decimal fraction 3.11 into a common fraction by shifting the decimal point two places to the right:

3.11 = 311/100

Now, we can rewrite the division as:

(311/100) ÷ (1/100)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(311/100) × (100/1)

Simplifying the expression, we get:

(311 × 100) / (100 × 1)

The numerator and denominator can be multiplied separately:

31100 / 100

Simplifying further, we have:

311

Therefore, the division of the decimal fraction 3.11 by the common fraction 0.01 is equal to the common fraction 311/100.

Note: The above example demonstrates the general process of dividing a decimal fraction by a common fraction. The specific values used in the example may not be relevant to your question.

Example Calculation:

Let's consider another example to further illustrate the division of a decimal fraction by a common fraction.

Example: Divide the decimal fraction 2.34 by the common fraction 5/6.

The division can be performed as follows:

2.34 ÷ (5/6)

To simplify the division, we can convert the decimal fraction 2.34 into a common fraction by shifting the decimal point two places to the right:

2.34 = 234/100

Now, we can rewrite the division as:

(234/100) ÷ (5/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(234/100) × (6/5)

Simplifying the expression, we get:

(234 × 6) / (100 × 5)

The numerator and denominator can be multiplied separately:

1404 / 500

Simplifying further, we have:

2 17/50

Therefore, the division of the decimal fraction 2.34 by the common fraction 5/6 is equal to the mixed number 2 17/50.

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