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5 votes
What is the quotient?

−6 7/8 ÷ (−3 3/4)
Enter your answer as a mixed number, in simplified form, in the box.

User Kentaro
by
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1 Answer

4 votes
alrighty, the signs are both negative
we know that a negative divided by a negative results in a positive so we know the end result will be positive
forget the signs for now


first, convert to improper because it's easeir that wasy
remember
((a)/(b))/((c)/(d))=((a)/(b))((d)/(c))=(ad)/(bc)

so



6 \space\ and \space\ (7)/(8)=6+(7)/(8)=(48)/(8)+(7)/(8)=(55)/(8)


3 \space\ and \space\ (3)/(4)=3+(3)/(4)=(12)/(4)+(3)/(4)=(15)/(4)


((55)/(8))/((15)/(4))=((55)/(8))((4)/(15))=((55)(4))/((15)(8))=
(220)/(120)=(22)/(12)=(11)/(6)=
(6)/(6)+(5)/(6)=1+(5)/(6)=1 \space\ and \space\ (5)/(6)
User Mark Unsworth
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