Question

identify the fractions labeled with the letters a and b on the scale below.

letter a represents the fraction

letter b represents the fraction

Explanation:

Determine the scale of the number line

The number line starts at \(0\) and ends at \(1\).
Counting the intervals between \(0\) and \(1\):
There are \(6\) equal subdivisions between \(0\) and \(1\).
Therefore, each tick mark represents an increment of \(\frac{1}{6}\).

Find the fraction for Letter A

Letter A is located at the first tick mark to the right of \(0\).

$$ A = 1 \times \frac{1}{6} = \frac{1}{6} $$

Find the fraction for Letter B

Letter B is located at the fourth tick mark to the right of \(0\).

$$ B = 4 \times \frac{1}{6} = \frac{4}{6} $$

Simplifying the fraction:

$$ \frac{4}{6} = \frac{2}{3} $$

Answer:

Identify the fractions labeled with the letters A and B on the scale below.

Letter A represents the fraction <blank>\(\frac{1}{6}\)</blank>

Letter B represents the fraction <blank>\(\frac{2}{3}\)</blank>