Subjects algebra

Fraction Ordering 89Dbbd

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1. The problem involves understanding the relative positions of the points $-\frac{1}{2}$, $\frac{1}{6}$, and $\frac{5}{12}$ on a number line. 2. To compare these fractions, we find a common denominator. The denominators are 2, 6, and 12. The least common denominator is 12. 3. Convert each fraction: - $-\frac{1}{2} = -\frac{6}{12}$ - $\frac{1}{6} = \frac{2}{12}$ - $\frac{5}{12}$ remains $\frac{5}{12}$ 4. Now, order the fractions from smallest to largest: - $-\frac{6}{12} < \frac{2}{12} < \frac{5}{12}$ 5. The graph shows these points on a horizontal number line with a right angle connecting $\frac{5}{12}$ to an empty square box below it, possibly indicating a vertical projection or a point of interest. 6. The key takeaway is understanding the relative positions: $-\frac{1}{2}$ is the smallest, $\frac{1}{6}$ is in the middle, and $\frac{5}{12}$ is the largest among the three.