what are all of the equivalent ratios of 16:21

Answer 1

To find equivalent ratios of 16:21, you can multiply both terms of the ratio by the same non-zero integer. Here are some examples:

1. Multiplying by 1:
   \( 16 \times 1 : 21 \times 1 = 16:21 \)

2. Multiplying by 2:
   \( 16 \times 2 : 21 \times 2 = 32:42 \)

3. Multiplying by 3:
   \( 16 \times 3 : 21 \times 3 = 48:63 \)

4. Multiplying by 4:
   \( 16 \times 4 : 21 \times 4 = 64:84 \)

5. Multiplying by 5:
   \( 16 \times 5 : 21 \times 5 = 80:105 \)

6. Multiplying by -1 (to get negative ratios):
   \( 16 \times -1 : 21 \times -1 = -16:-21 \)

You can continue this pattern indefinitely with any integer multiplier, both positive and negative. Just remember that the two numbers in the ratio will always maintain the same proportional relationship.