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Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. 13767 Harold says that 0.0137 equals "I calculated 1000x 137.777 because the decimal 99900 %3D begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 " 99900 • Elenor says that 0.137 equals 124 900 "I calculated 10a = 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900a = 124 and a = 124 %3D 900 Who is correct? Elenor Harold O Elenor and Harold O Neither Elenor nor Harold

Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. 13767 Harold says that 0.0137 equals "I calculated 1000x 137.777 because the decimal 99900 %3D begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 " 99900 • Elenor says that 0.137 equals 124 900 "I calculated 10a = 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900a = 124 and a = 124 %3D 900 Who is correct? Elenor Harold O Elenor and Harold O Neither Elenor nor Harold

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. %3D • Harold says that 0.0137 equals 13767 "I calculated 1000x 137.777 because the decimal 99900 begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 99900 %3D 124 Elenor says that 0.137 equals 900 "I calculated 10a 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900x = 124 and a = 124 . 900 Who is correct? Elenor O Harold Elenor and Harold O Neither Elenor nor Harold
Transcribed Image Text:Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. %3D • Harold says that 0.0137 equals 13767 "I calculated 1000x 137.777 because the decimal 99900 begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 99900 %3D 124 Elenor says that 0.137 equals 900 "I calculated 10a 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900x = 124 and a = 124 . 900 Who is correct? Elenor O Harold Elenor and Harold O Neither Elenor nor Harold
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