Write down the following numbers in the form \( \frac{a}{b} \) : \( \begin{array}{llll}1.1 & 1.2 & 2 \frac{3}{4} \\ 1.4 & 0,5 & 1.5 & -6 \frac{1}{2}\end{array} \)
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Let's convert each number into the form \( \frac{a}{b} \): 1. \( 1.1 = \frac{11}{10} \) 2. \( 1.2 = \frac{12}{10} = \frac{6}{5} \) 3. \( 2 \frac{3}{4} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \) 4. \( 1.4 = \frac{14}{10} = \frac{7}{5} \) 5. \( 0.5 = \frac{5}{10} = \frac{1}{2} \) 6. \( 1.5 = \frac{15}{10} = \frac{3}{2} \) 7. \( -6 \frac{1}{2} = -6 - \frac{1}{2} = -\frac{12}{2} - \frac{1}{2} = -\frac{13}{2} \) So, the numbers in the form \( \frac{a}{b} \) are: - \( 1.1 = \frac{11}{10} \) - \( 1.2 = \frac{6}{5} \) - \( 2 \frac{3}{4} = \frac{11}{4} \) - \( 1.4 = \frac{7}{5} \) - \( 0.5 = \frac{1}{2} \) - \( 1.5 = \frac{3}{2} \) - \( -6 \frac{1}{2} = -\frac{13}{2} \)