Question

Как найти все несократимые дроби со знаменателем 8, заключённые между числами -1 и-3/7

Answer 1

-1 и -2/7 это -8/8 и ≈ -2,3 / 8между ними -7/8; -6/8; -5/8; -4/8; -3/8из них несократимые-7/8; -5/8; -3/8ответ -7/8; -5/8; -3/8

Answer 2

Finding Irreducible Fractions with Denominator 8 between -1 and -3/7

To find all irreducible fractions with a denominator of 8 between the numbers -1 and -3/7, we can follow a systematic approach.

1. Generate Fractions with Denominator 8: We need to find all fractions with a denominator of 8. These fractions will have the form of 1/8, 2/8, 3/8, and so on, up to 7/8.

2. Reduce the Fractions: For each of these fractions, we need to check if they are irreducible. An irreducible fraction is one where the numerator and denominator have no common factors other than 1.

3. Check Range: Finally, we need to filter out the fractions that fall between -1 and -3/7.

Let's go through these steps to find the irreducible fractions with a denominator of 8 between -1 and -3/7.

Step 1: Generate Fractions with Denominator 8

We need to consider the fractions with a denominator of 8: - 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

Step 2: Reduce the Fractions

We will reduce each of these fractions to check for irreducibility.

- 1/8 is already irreducible. - 2/8 = 1/4 - 3/8 is already irreducible. - 4/8 = 1/2 - 5/8 is already irreducible. - 6/8 = 3/4 - 7/8 is already irreducible.

So, the irreducible fractions with a denominator of 8 are: 1/8, 3/8, 5/8, 7/8.

Step 3: Check Range

We need to filter out the fractions that fall between -1 and -3/7.

- 1/8 is greater than -1 and less than -3/7. - 3/8 is greater than -1 and less than -3/7. - 5/8 is greater than -1 and less than -3/7. - 7/8 is greater than -1 and less than -3/7.

So, the irreducible fractions with a denominator of 8 between -1 and -3/7 are: 1/8, 3/8, 5/8, 7/8.

This approach helps us systematically find the irreducible fractions with the given denominator and within the specified range.