Choose the pairs of ratios below that represent equivalent rates. Select all that apply.

Question

1/2 and 3/6
3/4 and 9/20
1/2 and 10/20
1/4 and 5/16

Answer 1

To determine which pairs of ratios are equivalent, we can simplify each ratio and compare:

1. 1/2 and 3/6:

   • 3/6 simplifies to 1/2.
   • Equivalent.

2. 3/4 and 9/20:

   • 9/20 cannot be simplified to 3/4 (3/4 = 0.75, 9/20 = 0.45).
   • Not equivalent.

3. 1/2 and 10/20:

   • 10/20 simplifies to 1/2.
   • Equivalent.

4. 1/4 and 5/16:

   • 5/16 cannot be simplified to 1/4 (1/4 = 0.25, 5/16 = 0.3125).
   • Not equivalent.

Equivalent ratios selected: 1/2 and 3/6; 1/2 and 10/20.