x-7/3x^2-8x+4 divided by 3x-21/6x^2-24

Question

x-7/3x^2-8x+4 divided by 3x-21/6x^2-24 i need help on this math problem for my alg/trig homework

 

Answer 1

(x - 7) / (3x² - 8x + 4) ÷ (3x - 21) / (6x² - 24)

 

A fraction is divided by a fraction. You can multiply by the reciprocal of the divisor.

 

(x - 7) / (3x² - 8x + 4) · (6x² - 24) / (3x - 21)

(x - 7) / (3x² - 8x + 4) · 6(x² - 4) / 3(x - 7)      GCF

1 / (3x² - 8x + 4) · 2(x² - 4) / 3                       reduce

2(x² - 4) / (3x² - 8x + 4)                                 combine like terms

2(x + 2)(x - 2) / (3x - 2)(x - 2)                        factor

2(x + 2) / (3x - 2)                                           reduce