A. 3/5 * 60 minutes = 180/5 = 36 minutes
b. (3/4)/12 = 3/(4*12) = 3/48 = 1/16 cup
c. (5 1/3) / (2/3) = (16/3) / (2/3) = 16/3 * 3/2 = 48/6 = 8 days
d. 137/16 = 8.5625 pounds
Answer:
64 builders must be employed to build a house in 16 days
For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)
The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).
(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3
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2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds
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Learn to use the fraction functions on your calculator. They can be very helpful.
Answer:
B. 1/9 cuz it's just saying y is 1/9 of x
