## Related questions with answers

On graph paper, draw seven horizontal line segments that are 24 units in length. Label the endpoints 0 and 1. a. Place each number on the seventh line segment $\frac{1}{12}, \frac{2}{12}, \frac{6}{24}, \frac{1}{8}, \frac{4}{8}, \frac{25}{100}, \frac{2}{10}, \frac{5}{10}, \frac{10}{60}, \frac{6}{12}, \frac{5}{8}, \frac{0}{13}, \frac{11}{11}, \frac{1,000,000}{2,000,000}$. b. Explain why some points have more than one label.

Solutions

VerifiedRemember key concepts studied in this lesson.

$\textbf{a.}$

By reducing each fraction to lowest terms, we can easily place them on the seventh line segment. You may also want to rewrite some fractions so that the denominator is 24:

$\begin{align*} \dfrac{1}{12}&\to \dfrac{2}{24}\\ \dfrac{2}{12}&\to \dfrac{1}{6}\\ \dfrac{6}{24}&\to \dfrac{1}{4}\\ \dfrac{1}{8}&\to \dfrac{3}{24}\\ \dfrac{4}{8}&\to \dfrac{1}{2}\\ \dfrac{25}{100}&\to \dfrac{1}{4}\\ \dfrac{2}{10}&\to \dfrac{1}{5}\\ \dfrac{5}{10}&\to \dfrac{1}{2}\\ \dfrac{10}{60}&\to \dfrac{1}{6}\\ \dfrac{6}{12}&\to \dfrac{1}{2}\\ \dfrac{5}{8}&\to\dfrac{15}{24}\\ \dfrac{0}{13}&\to 0\\ \dfrac{11}{11}&\to 1\\ \dfrac{1000000}{2000000}&\to \dfrac{1}{2} \end{align*}$

So, we label the seventh line segment as shown:

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