Question

Which pairs of numbers are equivalent?

Select each correct answer.

Responses

23
6

and 4
1
6

23 over 6 and 4 and fraction 1 over 6

15
8

and 1
7
8

15 over 8 and 1 and fraction 7 over 8

40
12

and 3
1
3

40 over 12 and 3 and 1 third

11
4

and 2
1
2

11 over 4 and 2 and 1 half

35
4

and 8
3
4

Answer 1

To determine which pairs of numbers are equivalent, we should simplify the fractions and compare their values.

1. **For the pair 23/6 and 4:**
- Calculate 23/6 = 3.8333... (not equal to 4)
- Check 1/6 = 0.1667 (not equal to 23/6 or 4)

2. **For the pair 15/8 and 1 and 7/8:**
- Calculate 15/8 = 1.875
- 1 + 7/8 = 1 + 0.875 = 1.875 (they are equivalent)

3. **For the pair 40/12 and 3 and 1/3:**
- Simplify 40/12 = 10/3 = 3.3333...
- 3 + 1/3 = 3 + 0.3333... = 3.3333... (they are equivalent)

4. **For the pair 11/4 and 2 and 1/2:**
- Calculate 11/4 = 2.75
- 2 + 1/2 = 2 + 0.5 = 2.5 (not equivalent)

5. **For the pair 35/4 and 8 and 3/4:**
- Calculate 35/4 = 8.75
- 8 + 3/4 = 8 + 0.75 = 8.75 (they are equivalent)

The equivalent pairs are:
- 15/8 and 1 and 7/8
- 40/12 and 3 and 1/3
- 35/4 and 8 and 3/4