Which two fractions name point R on the number line?

A number line is shown from zero to 1, divided into eighths. Point R is two marks to the left of 1.

(1 point)
Responses

18
or 216

1 8 or 2 16

28
or 14

2 8 or 1 4

78
or 1416

7 8 or 14 16

68
or 34

1 answer

To find the value of point R, which is two marks to the left of 1 on a number line divided into eighths, we need to determine where that position would be.

  1. First, note that one whole unit (1) is represented as 8/8 when divided into eighths.
  2. Since point R is two marks to the left of 1, we subtract 2/8 from 8/8.

So,

\[ 8/8 - 2/8 = 6/8 \]

Now we can convert \(6/8\) to its simplest form:

\[ 6/8 = 3/4 \]

Thus, point R corresponds to \(6/8\) or \(3/4\).

Now, we look for equivalent fractions for \(6/8\) among the provided options:

  • \(2/8\) or \(1/4\)
  • \(7/8\) or \(14/16\)
  • \(6/8\) or \(3/4\) (not in the options)
  • \(3/8\) or \(3/4\) (correct equivalent)
  • \(1/8\) or \(2/16\)

The closest response that can match these fractions based on \(6/8\) is \(3/4\), which matches with \(6/8\) or \(3/4\).

This option, however, doesn't appear in your offered choices explicitly. Therefore, the correct pairing of fractions indicating point R as \(6/8\) or simplified \(3/4\) cannot be listed among your given options as they are perceived.

If your goal is to conceptualize, point R is located at \(6/8\) or \(3/4\). However for the multiple-choice format presented, note if specific fractions had been excluded inadvertently or transformations required to clarify options further may be initiated. Please clarify your question's context if needed.

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