Compare Fractions Compare Write \( ><0 \) or = for each 5. \( \frac{1}{5} \frac{1}{15} \) 6. \( \frac{17}{10} \quad \frac{17}{5} \) 7. \( \frac{5}{25} \frac{2}{3} \) 9. \( \begin{array}{l}126 \\ 27\end{array} \) 9. 11.2 10. 2 ? 11. Liam bought \( \frac{5}{8} \) pound of cherries. Harrison bought more chemies than Liam Which could be the amount of cherries that Harrison bought? (a) \( \frac{1}{2} \) pound (B) \( \frac{2}{5} \) pound (C) \( { }_{3}^{2} \) pound (0) \( { }^{3} \) pound 12. Jamme has read 4 of a book. Raul has read \( \frac{3}{4} \) of the same byok. Who is closer to reading the whole book? Explain.
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To compare \( \frac{1}{5} \) and \( \frac{1}{15} \), we can convert them to decimals or find a common denominator. \( \frac{1}{5} = 0.2 \) and \( \frac{1}{15} \approx 0.067 \), so \( \frac{1}{5} > \frac{1}{15} \). For the fractions \( \frac{17}{10} \) and \( \frac{17}{5} \), we can recognize that \( \frac{17}{5} = 3.4 \) and \( \frac{17}{10} = 1.7\), leading to \( \frac{17}{10} < \frac{17}{5} \). In the case of \( \frac{5}{25} \) versus \( \frac{2}{3} \), first simplify \( \frac{5}{25} \) to \( \frac{1}{5} \) or \( 0.2 \). Since \( \frac{2}{3} \approx 0.666\), \( \frac{5}{25} < \frac{2}{3} \). For comparing whole numbers, \( 126 \) is obviously greater than \( 27 \), hence \( 126 > 27 \). When we look at decimals, we need to view \( 11.2 \) versus \( 2 \); \( 11.2 > 2 \). Now, considering the cherries, since Harrison bought more than Liam's \( \frac{5}{8} \) pound, we can convert \( \frac{5}{8} \) to \( 0.625 \). Out of the options, the only one greater than \( 0.625 \) is \( 3 \) pounds, making it the right choice. Finally, for the books, Jamme read \( 4 \) (or \( \frac{4}{4} \)), while Raul has read \( \frac{3}{4} \). Jamme has completed the book, so he’s definitely closer to finishing than Raul!