Question

Simplify quantity 6 x plus 9 over 15 x squared all over quantity 16 x minus 12 over 10 x to the fourth power

Answer 1

Sooo \[\large \sf \frac{6x+\frac{9}{15}x^{2}}{16x-\frac{12}{10}x^{4}}\] is it?

Answer 2

Remember that a complex fraction can be rewritten as the top fraction multiplied by the reciprocal of the bottom fraction:
\[\frac{ \frac{ a }{ b } }{ \frac{ c }{ d } }=(\frac{ a }{ b })(\frac{ d }{ c })\]
Try to do that with this fraction and it should get much easier to cancel things.

Answer 3

- using what above @Alphabet_Sam have wrote,will get

6x +9
--------
15x^2 6x+9 10x^4
---------- = --------- * --------- = ?
16x-12 15x^2 16x-12
---------
10x^4

- do you can continue it ?