A container at a juicing plant holds 4 2/3 tons of oranges. The plant can juice 1 2/3 tons of oranges per day. At this rate, how long will it take to empty the container?
Would I need to multiply 4 2/3 x 1 2/3 to figure out my answer?
Nope, divide
time=orangesinplant/rate=(4 2/3)/(1 2/3) 0r 1(4/3)/(5/3)
Did you know dividing fractions is the same as multiplying inverses?
same thing as (4/3)*(3/5)=...days
(14/3) / (5/3) = (14/3) * (3/5)
3/5 is the inverse of 5/3
I.
Just.
Need.
An.
Answer.
To.
This.
Question.
What do you mean by dividing fractions is the same as multiplying inverses?
What does inverses mean? I have never heard of this term in math.
Did you mean to put 14/3 divided by 5/3?
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To figure out how long it will take to empty the container, you need to divide the total amount of oranges in the container by the rate at which the plant can juice them.
First, let's convert the mixed fractions to improper fractions for easier calculation:
4 2/3 = (4 * 3 + 2)/3 = 14/3 tons
1 2/3 = (1 * 3 + 2)/3 = 5/3 tons
Now, divide the total amount of oranges (14/3 tons) by the rate of juicing (5/3 tons per day):
14/3 ÷ 5/3
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction:
(14/3) * (3/5)
Simplify the fraction:
(14 * 3) / (3 * 5) = 42/15
The simplified fraction is 42/15. To convert it into a mixed fraction, divide the numerator by the denominator:
42 ÷ 15 = 2 remainder 12
So, the answer is approximately 2 12/15 days.
No, you do not need to multiply 4 2/3 by 1 2/3 to find the answer. Instead, you should divide 4 2/3 by 1 2/3.