Question

What is the quotient?

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

Answer 1

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)`