Asked by lauren
I'm really struggling with this complex fractions problem and wondering if someone could show me the steps and not just give me the answer please?
The problem is 1 - 1/p in the numerator and in the denominator it's p/w + w/p
I know the lcd of the numerator is p so it becomes p - 1/p
the lcd of the denominator is pw so it becomes (pw + pw)/pw
Or at least I think these are correct, but when I solve, it doesn't come out with the correct answer of w(p - 1)/p^2 + w^2
Thank you
The problem is 1 - 1/p in the numerator and in the denominator it's p/w + w/p
I know the lcd of the numerator is p so it becomes p - 1/p
the lcd of the denominator is pw so it becomes (pw + pw)/pw
Or at least I think these are correct, but when I solve, it doesn't come out with the correct answer of w(p - 1)/p^2 + w^2
Thank you
Answers
Answered by
mathhelper
the top simplified becomes (p - 1)/p
and the denominator is (p^2 + w^2)/(pw)
and [(p - 1)/p] / [(p^2 + w^2)/(pw) ] , recall division by a fraction, invert and multiply
= (p - 1)/p * pw/(p^2 + w^2) , cancel p
= w(p - 1) / (p^2 + w^2)
and the denominator is (p^2 + w^2)/(pw)
and [(p - 1)/p] / [(p^2 + w^2)/(pw) ] , recall division by a fraction, invert and multiply
= (p - 1)/p * pw/(p^2 + w^2) , cancel p
= w(p - 1) / (p^2 + w^2)
Answered by
lauren
How does the denominator become p^2 + w^2/ pw?