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When m is divided by 7, the remainder is 2. What is the remainder when 4m is divided by 7?

Please give me an explanation and not just the answer! Thankss:)

  • math -

    When 4m is divided by 7, you would have 4*2=8 left over, BUT since you are dividing by 7, seven goes into 4m an extra time, leaving 1 left over as the remainder.

    Example:

    Suppose m = 16
    then m/7 = 2 2/7
    (That is 2 with 2 left over)

    4m = 64 4m/7 = 9 1/7
    (That is 9 with 1 left over)

  • math -

    m/7=2 --> m=14
    4m/7=x --> 4*14/7=8

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