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see explanation

Step-by-step explanation:

The reciprocal of a number n is

(a)

1 ← change to an improper fraction

=

Then its reciprocal is =

(b)

The reciprocal of is = = 1

(c)

Each is the reciprocal of the other

1. there are 24 hrs in a day and it states that 33% or 33/100 are spent sleeping so set the fraction 33/100 equal to x/24 to find how many hours are equal to 33%
cross multiply: 792 = 100x
simplify: 7.92 = x

For 2, 4, and 6 use the same process (except for 4 add the hours for school and hw together)

3. Because 3/4 are eaten at home, you should find 3/4 of your total eating time, just multiply 3/4 by .08 to get .06

5. You watch TV 13% of your day (24 hours), so .13 * 24, but this is over a week so this must be multiplied for every day it is repeated, so A = .13 * 24 * 7