Convert following to Rational Fractions \( \begin{array}{l}\text { 1. } 1,30 \\ 2.8, \dot{2} 3 \\ 3 \cdot 0, \dot{2} \\ 4 \cdot 1, \dot{3} \\ 5 \cdot 7,82 \\ \text { 6. 1,2 }\end{array} \)
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Sure! Let's convert these numbers into rational fractions. First Line: \(1.30\) can be expressed as \( \frac{130}{100} \) which simplifies to \( \frac{13}{10} \). For \(8, \dot{2} 3\), this means \(8 + \frac{23}{90}\) which gives us \( \frac{743}{90} \). Second Line: The decimal \(3 \cdot 0, \dot{2}\) is equivalent to \(3 + \frac{2}{9}\), which simplifies to \( \frac{29}{9} \). For \(1, \dot{3}\), it translates to \(1 + \frac{1}{3}\), resulting in \( \frac{4}{3} \). Lastly, \(7.82\) can be written as \( \frac{782}{100} \), simplifying to \( \frac{391}{50} \), and \(1.2\) becomes \( \frac{12}{10} \) or \( \frac{6}{5} \).