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Question

Question
Use the number line. Which number sentence is true?

A number line from zero to one is shown. Tick marks are labeled one-sixth, two-sixths, three-sixths, four-sixths, and five-sixths. The fraction one-third is below two-sixths and the fraction two-thirds is below four-sixths.

(1 point)
Responses

16=13

1 6 = 1 3

23=46

2 3 = 4 6

26=23

2 6 = 2 3

13=46

1 3 = 4 6
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Answer 1

To determine which number sentence is true based on the description of the number line, we can analyze the fractions:

• The fraction one-sixth (1/6) is less than one-third (1/3).
• The fraction two-sixths (2/6) is equal to one-third (1/3).
• The fraction three-sixths (3/6) is equal to one-half.
• The fraction four-sixths (4/6) is equal to two-thirds (2/3).
• The fraction five-sixths (5/6) is greater than two-thirds (2/3).

Now, let's evaluate the given options based on this information:

1. 1/6 = 1/3 (False)
2. 2/3 = 4/6 (True)
3. 2/6 = 2/3 (False)
4. 1/3 = 4/6 (False)

The only true statement based on the number line is:

2/3 = 4/6

So, the correct response is:

2/3 = 4/6 (Option: 23=46)