A Simplify [3/x-15/2y]+6/xy.

Question

asked Oct 10, 2024 7.3k views

1 Answer

Hemanto · Answer 1 · 2024-10-16T09:02:59+0000

Hello!

Answer:

$\Large \boxed{\sf (6y-15x+12)/(2xy)}$

Explanation:

We want to simplify:

$\sf (~(3)/(x) -(15)/(2y)~ ) +(6)/(xy)$

◼ Remove parentheses:

$\sf (3)/(x) -(15)/(2y) +(6)/(xy)$

◼ Find the common denominator:

$\sf (3(2y))/(x(2y)) -(15(x))/(2y(x)) +(6(2))/(xy(2))$

◼ Simplify the expression:

$\sf (6y)/(2xy) -(15x)/(2xy) +(12)/(2xy)$

◼ Group fractions with the same denominator:

$\boxed{\sf (6y-15x+12)/(2xy)}$