Respuesta :

Answer:

5/16 < 8/24

Step-by-step explanation:

To determine which of the following statements is true, let's compare the fractions one by one:

1. 7/16 > 5/10:

To compare fractions, we can cross-multiply.

Cross-multiplying gives us: 7 * 10 > 16 * 5, which simplifies to 70 > 80. However, this statement is false because 70 is not greater than 80. Therefore, 7/16 is not greater than 5/10.

2. 5/16 < 8/24:

Again, let's cross-multiply: 5 * 24 < 16 * 8, which simplifies to 120 < 128. This statement is true because 120 is indeed less than 128. Therefore, 5/16 is less than 8/24.

3. 4/5 < 6/16:

Cross-multiplying gives us: 4 * 16 < 5 * 6, which simplifies to 64 < 30. This statement is false because 64 is not less than 30. Therefore, 4/5 is not less than 6/16.

4. 5/8 < 6/16:

Cross-multiplying gives us: 5 * 16 < 8 * 6, which simplifies to 80 < 48. This statement is false because 80 is not less than 48. Therefore, 5/8 is not less than 6/16.