# math

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20 fl oz/min = __ qt/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 = ?

• 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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