Question

Сравните дроби 2/3 * 6/9; 4/6 * 6/9; 9/9 * 1; 1/3 *2/6; 5/6 * 7/9; 5/9 * 3/6 .

Answer 1

2/3 = 6/9
4/6 = 6/9
9/9 = 1
1/3 = 2/6
5/6 > 7/9
5/9 > 3/6

Answer 2

2/3=6/9
4/6=6/9 12/18 12/18
9/9=1
1/3=2/6
5/6>7/9 15/18
5/9>3/6 10/18 9/18

Answer 3

Comparing Fractions

Let's compare the following fractions:

1. 2/3 * 6/9 2. 4/6 * 6/9 3. 9/9 * 1 4. 1/3 * 2/6 5. 5/6 * 7/9 6. 5/9 * 3/6

To compare fractions, we can multiply them and simplify the resulting fractions if necessary. Let's calculate each expression step by step.

1. 2/3 * 6/9: - Multiply the numerators: 2 * 6 = 12. - Multiply the denominators: 3 * 9 = 27. - The result is 12/27.

2. 4/6 * 6/9: - Multiply the numerators: 4 * 6 = 24. - Multiply the denominators: 6 * 9 = 54. - The result is 24/54.

3. 9/9 * 1: - Multiply the numerators: 9 * 1 = 9. - Multiply the denominators: 9 * 1 = 9. - The result is 9/9.

4. 1/3 * 2/6: - Multiply the numerators: 1 * 2 = 2. - Multiply the denominators: 3 * 6 = 18. - The result is 2/18.

5. 5/6 * 7/9: - Multiply the numerators: 5 * 7 = 35. - Multiply the denominators: 6 * 9 = 54. - The result is 35/54.

6. 5/9 * 3/6: - Multiply the numerators: 5 * 3 = 15. - Multiply the denominators: 9 * 6 = 54. - The result is 15/54.

Now, let's simplify the fractions if possible.

1. 12/27: - The numerator and denominator have a common factor of 3. - Divide both the numerator and denominator by 3. - The simplified fraction is 4/9.

2. 24/54: - The numerator and denominator have a common factor of 6. - Divide both the numerator and denominator by 6. - The simplified fraction is 4/9.

4. 2/18: - The numerator and denominator have a common factor of 2. - Divide both the numerator and denominator by 2. - The simplified fraction is 1/9.

5. 35/54: - The numerator and denominator do not have a common factor other than 1. - The fraction is already in its simplest form.

6. 15/54: - The numerator and denominator have a common factor of 3. - Divide both the numerator and denominator by 3. - The simplified fraction is 5/18.

Summary:

After simplifying the fractions, the results are as follows:

1. 2/3 * 6/9 = 4/9 2. 4/6 * 6/9 = 4/9 3. 9/9 * 1 = 1 4. 1/3 * 2/6 = 1/9 5. 5/6 * 7/9 = 35/54 6. 5/9 * 3/6 = 5/18

Please let me know if there's anything else I can help you with!