Question

put these numbers in order from least to greatest.
\\(\frac{2}{20}\\)
20
\\(20\frac{7}{14}\\)
\\(-\frac{24}{20}\\)

Explanation:

Step1: Simplify fractions

Simplify \(\frac{2}{20}\) to \(\frac{1}{10} = 0.1\), \(\frac{7}{14}=\frac{1}{2}\), so \(20\frac{7}{14}=20 + \frac{1}{2}=20.5\), and \(-\frac{24}{20}=-1.2\).

Step2: Compare values

Negative numbers are less than positive numbers. Among negative numbers, \(-1.2\) (i.e., \(-\frac{24}{20}\)) is negative. Among positive numbers, \(0.1\) (i.e., \(\frac{2}{20}\)) is less than \(20\), and \(20\) is less than \(20.5\) (i.e., \(20\frac{7}{14}\)). So the order from least to greatest is: \(-\frac{24}{20}\), \(\frac{2}{20}\), \(20\), \(20\frac{7}{14}\).

Answer:

\(-\frac{24}{20}\), \(\frac{2}{20}\), \(20\), \(20\frac{7}{14}\)