Which pair is equivalent?

Question

(1 point)
Responses

2/6
and 2/4

3/6
and 1/2

5/12
and 1/3

4/8
and 4/6

Answer 1

To determine which pair is equivalent, we can simplify the fractions in each pair.

1. 2/6 and 2/4:

   • 2/6 simplifies to 1/3 (divide both numerator and denominator by 2).
   • 2/4 simplifies to 1/2 (divide both numerator and denominator by 2).
   • Not equivalent.

2. 3/6 and 1/2:

   • 3/6 simplifies to 1/2 (divide both numerator and denominator by 3).
   • 1/2 is already simplified.
   • Equivalent.

3. 5/12 and 1/3:

   • 5/12 cannot be simplified further.
   • 1/3 can be expressed as 4/12 (by multiplying numerator and denominator by 4).
   • Not equivalent.

4. 4/8 and 4/6:

   • 4/8 simplifies to 1/2 (divide both numerator and denominator by 4).
   • 4/6 simplifies to 2/3 (divide both numerator and denominator by 2).
   • Not equivalent.

The pairs that are equivalent are 3/6 and 1/2.