Question

What is the quotient in simplified form?

Answer 1

\[\frac{ a+2 }{a-5 }/\frac{ a+1 }{a^2-8a+15 }\]

Answer 2

try looking for something to factor

Answer 3

\[\frac{ a+2 }{ a-5 }/\frac{ a+1 }{ (a-5)(a-3) }\]

Answer 4

this is where i am stuck at

Answer 5

division = multiplication by the reciprocal

Answer 6

the definition of reciprocal being "flipping a fraction"
a more accurate definition being \(a\longrightarrow \frac{1}{a}\)

Answer 7

so do i take the reciprocal of both fractions or just one