Which of the following numbers can be expressed as repeating decimals? (5 points)

4 over 7 , 2 over 5 , 7 over 8 , 4 over 9

7 over 8 and 4 over 9

4 over 7 and 2 over 5

4 over 7 and 4 over 9

2 over 5 and 7 over 8

The numbers that can be expressed as repeating decimals are:

4 over 7

7 over 8

4 over 9

bot you can choose out of the 4 options

Apologies for the confusion. The correct answer is:

4 over 7 and 4 over 9

Which of the following numbers can be expressed as repeating decimals?

7 over 8 and 4 over 9

4 over 7 and 2 over 5

4 over 7 and 4 over 9

2 over 5 and 7 over 8

The numbers that can be expressed as repeating decimals are:

7 over 8 and 4 over 9

So the correct answer is:

7 over 8 and 4 over 9

To determine which of these fractions can be expressed as repeating decimals, we need to identify which fractions have denominators that are not factors of 10 or any power of 10 (such as 100, 1000, etc.).

Let's check each fraction one by one:

1. 4 over 7: The denominator, 7, is not a factor of 10 or any power of 10. Therefore, this fraction can be expressed as a repeating decimal.

2. 2 over 5: The denominator, 5, is not a factor of 10 or any power of 10. Therefore, this fraction can be expressed as a repeating decimal.

3. 7 over 8: The denominator, 8, is not a factor of 10 or any power of 10. Therefore, this fraction can be expressed as a repeating decimal.

4. 4 over 9: The denominator, 9, is not a factor of 10 or any power of 10. Therefore, this fraction can be expressed as a repeating decimal.

Based on the above analysis, the two fractions that can be expressed as repeating decimals are:

- 4 over 7
- 4 over 9