The decimal 0.297297 . . ., in which the sequence 297 repeats endlessly, is rational. Show that it is rational by writing it in the form p/q where p and q are intergers. Can i get help? Algebra 1 Answer Mahek ☮ Mar 29, 2018 #color(magenta)(x=297/999=11/37# Explanation: #"Equation 1:-"# #"Let " x " be" = 0.297# #"Equation 2:-"# #"So", 1000x=297.297# #"Subtracting Eq. 2 from Eq. 1, we get:"# #1000x-x=297.297-0.297# #999x=297# #color(magenta)(x=297/999=11/37# #0.bar 297 " can be written as a rational number in the form " p/q " where " q ne 0 " is" 11/37# #"~Hope this helps! :)"# Answer link Related questions How do I determine the molecular shape of a molecule? What is the lewis structure for co2? What is the lewis structure for hcn? How is vsepr used to classify molecules? What are the units used for the ideal gas law? How does Charle's law relate to breathing? What is the ideal gas law constant? How do you calculate the ideal gas law constant? How do you find density in the ideal gas law? Does ideal gas law apply to liquids? Impact of this question 1018 views around the world You can reuse this answer Creative Commons License