# Algebra II

Simplify the complex fraction:
x+(4x/y)/(7/3x)

I know that the answer is 3x^2(y+4)/7y. I don't know how to get this answer. Can someone please help me walk through this and figure out how to simplify it? I would be so grateful.

1. x+(4x/y)/(7/(3x)) = x + (4x/y)(3x/7) = x + (12x^2)/(7y)
From here there is no way to get the alleged answer.
I suspect a typo in either the question or the answer.

posted by Steve
2. Okay it's a complex fraction, so it's (x+(4x/y)) / (7/3x). I'm not sure how else I would type this.

posted by Confuzzled
3. Aha! The parens make a big difference!

(x+(4x/y)) / (7/3x)
= (xy+4x)/y * 3x/7
= (7(xy+4x) + 3x^2)/(7y)
= (7xy+28x+3x^2)/(7y)
Still no way to get to 3x^2(y+4)/7y
Hmmm.
(3x^2(y+4)/7y)*(7/(3x)) = xy(y+4)
so, xy(y+4)/(7/3x) = 3x^2(y+4)/7y
Still not sure how to get from xy(y+4) to (x + 4x/y)

posted by Steve

## Similar Questions

1. ### algebra

Can someone please help me with these problems? Please and thank you. 1)Solve the equation: (1/x)+[x/(x+2)]=1 2)Simplify the complex fraction: 3-(3/4) ------- (1/2)-(1/4) (1/x)+ [x/(x+2)] = 1 Convert left side to the sum of
2. ### algebra 2

1.Simplify the difference. n^2 - lOn+24 9 / n^2 - 13n + 42 — 7 A. n-13/n-7 <<< B. n-4/n-7 C. n-13 2.Simplify the complex fraction. y-1/y^2+y-6/y-6/y+3 A.(y-1)(y-6)/(y+3)^2(y-2) B. y-1/(y-6)(y-2)
3. ### Algebra II

I have some questions on my assignment, if you don't mind could you look over my answers. thanxs! Find all the numbers that must be excluded from the domain of the rational expression. x+8/x^2-16, my answer: x cant be -4 or 4
4. ### Algebra 2/Trig.

I forgot some stuff from my 7th grade algebra class about complex numbers...like what do you do with a problem like this 5+5i 3-i divided by + divided by 2-i 4+3i thanks.(divided by refers to dividing line in a fraction) In each
5. ### algebra

Simplify each complex fraction. Reduce each answer to lowest terms. ab+b^2/4ab^ 5 _______________ a+b/6a^2b^2
6. ### Math

simplify the complex fraction 4/x+5 +2 _________ 14/x+5 -2 Once i multiply by the LCD i get 4+2(x+5)/14-2(x+5) however i can't see what i can do next to simplify can you explain.
7. ### math

use any method to simplify the complex fraction. y-(3y-5)/5/(14/10 + 7/2y) the fraction simplifies to ___.
8. ### math

Simplify each complex fraction. Reduce each answer to lowest terms. ab + b² 4ab ______________ a + b 6a²b
9. ### Algebra

Simplify complex fraction w+3/4w/w-3 2w Without providing parentheses and ^ signs for exponents, there are many ways to interpret what you have written. Each gives a different answer. Do you mean to write [w + (3/4)w]/(w-3) * 2w ?