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16 November, 13:56

Which fraction has a terminating decimal as its decimal expansion?

1. one third

2. one fifth

3. one seventh

4. one ninth

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Answers (1)
  1. 16 November, 15:15
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    'One third' as a decimal is 1 : 3 = 0.333333 ... ⇒ The decimal is recurring

    'One fifth' as decimal is 1 : 5 = 0.2 ⇒ The decimal terminates at the tenth value

    'One seventh' as decimal 1 : 7 = 0.142857142857 ... ⇒ The decimal is recurring for every digit between 1 and 7

    'One ninth' as decimal 1 : 9 = 0.111111 ... ⇒ The decimal is recurring

    Answer: one fifth
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