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2 votes
99 points if you answer Solve your word problem using an algorithm, or equation, and interpret the quotient in the context of your word problem. Show or explain all of your work.

2 Answers

5 votes

the simplified answer is 3 13/33

User Arlen
by
5.8k points
6 votes

the question is in another "answer's" comments (obvious quotes are obvious)

question is "you will be writing and solving a word problem for the expression 9 1/3 ÷ 2 3/4"


one kind i've heard is a baking problem or a conversion problem

example: one blemflarck is worth 2 and 3/4 euros

if bob has 9 1/3 euros, how many blemflarcks does he have?


we can divide the number of euros he has by the number of euros that equals 1 blemfarck

so just do 9 1/3 ÷ 2 3/4


I would first convert them to improper fractions (form a/b)

9 and 1/3=9+1/3=(3*9)/3+1/3=27/3+1/3=28/3

2 and 3/4=2+3/4=(2*4)/4+3/4=8/4+3/4=11/4

recall that
((a)/(b))/((c)/(d))=((a)/(b))((d)/(c))=


(ad)/(bc)


so

9 1/3 ÷ 2 3/4=28/3 ÷ 11/4=
((28)/(3))/((11)/(4))=((28)/(3))((4)/(11))=


((28)(4))/((3)(11))=(112)/(33)


(33)/(33)+(33)/(33)+(33)/(33)+(13)/(33)=


1+1+1+(13)/(33)=


3+(13)/(33)=


3 and
(13)/(33)


so bob has the equivilent of
3 and
(13)/(33) blemflarcks


note: blemflarcks is a name of a currency as is euros. you can change those to any other name

User Marzouk
by
6.3k points