After how many places the decimal expansion of 13/40 will terminate?

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After how many places the decimal expansion of 13/40 will terminate?

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    2021-11-23T23:20:00+00:00

    Remember that  40 = 2\cdot 2\cdot 10 .

    So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

    So, we can go like this: let’s divide by 10 first

     13 \div 10 = 1.3

    Then, we divide by 2:

     1.3 \div 2 = 0.65

    And by 2 again:

     0.65 \div 2 = 0.325

    So, the decimal expansion ends after 3 digits.

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