math

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20 fl oz/min = __ qt/day
answer: 1qt/4 day?

  • math -

    recall these conversions:
    1 qt = 32 fl oz
    1 day = 24 hours = 24*60 minutes

    using dimensional analysis to cancel units:
    (20 oz)*(1 qt/32 oz) = 20/32 = 5/8 qt
    (1/1 min)*(24*60 min/1 day) = 24*60/day

    now multiply them (units in qt/day):
    (5/8)*(24*60)

    how do you multiply fractions and numbers?

  • math -

    idk. Well 24 x 60 is 1440.

  • math -

    right, 24*60 = 1440
    then 1440 * 5/8 = ?

  • math -

    how would I do that?

  • math -

    since 1440 is a whole number, you can rewrite it as
    1440 = 1440/1
    *any whole number divided by 1 is itself.

    then multiply fractions like normal multiplication,,
    numerator: number above the line,
    denominator: number below the line,

    numerator times numerator, and
    denominator times denominator
    1440/1 * 5/8 = ?
    let me see your work.

  • math -

    I got 900 is that right? And if so would it e 990 qt/day or 900 qt/1day?

  • math -

    Right~! :)
    qt/day is fine. no need to write 1.

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