Answer:
(a) We have,\[\frac{10}{20}=\frac{25}{50}=\frac{40}{80}=\frac{1}{2}\] and \[\frac{250}{400}\] Now, \[\frac{2}{3}\] \[\frac{180}{200}\] \[\frac{2}{5}\] \[\frac{660}{990}\] [by cross product] \[\frac{1}{2}\] \[\frac{180}{360}\] and \[\frac{5}{8}\] are equivalent fractions. (b) We have, \[\frac{220}{550}\]and \[\frac{9}{10}\] Now, \[\frac{250}{400}\] \[250=\times \times \times 5\] But \[400=\times \times \times 2\times 2\times 2\] [by cross product] \[400=2\times 5\times 5=50\]\[\therefore \] and \[\frac{250}{400}=\frac{250\div 50}{400\div 50}=\frac{5}{8}\]are not equivalent fractions. (c) We have,\[\frac{250}{400}\] and \[\frac{5}{8}\] Now, \[\to \] \[\frac{5\times 2}{8\times 2}=\frac{10}{16}\] But \[\frac{5\times 3}{8\times 3}=\frac{15}{24}\] [by cross product] \[\frac{180}{200}\] \[180=\times \times \times 3\times 3\] and \[200=\times \times \times 5\times 2\] are not equivalent fractions.
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