Question

0 1/6 2/6 3/6 4/6 5/6 1 into how many equal parts is this number line divided? a 2 b 4 c 6 d 8

Explanation:

Step1: Analyze the number line

The number line has marks at \(0, \frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, \frac{5}{6}, 1\). The distance between consecutive marks is \(\frac{1}{6}\), and from \(0\) to \(1\), we can see how many intervals there are.

Step2: Count the equal parts

From \(0\) to \(1\), the fractions have a denominator of \(6\), which means the number line is divided into \(6\) equal parts (since the denominator of the fraction representing each part's size tells us the number of equal parts in the whole). Also, counting the intervals between \(0\) and \(1\): from \(0\) to \(\frac{1}{6}\) is 1 part, \(\frac{1}{6}\) to \(\frac{2}{6}\) is the second, and so on, up to \(\frac{5}{6}\) to \(1\), which is the 6th part.

Answer:

C. 6