Question

Find the value of the expression below

Answer 1

`\huge\boxed{\sf -(2)/(9) }`

Explanation:

`\sf ((2)/(3)-(5)/(6) )/((3)/(4) ) \\\\= ((2(2)-5)/(6) )/((3)/(4) ) \\\\= ((4-5)/(6) )/((3)/(4) ) \\\\= (-1)/(6) / (3)/(4) \\\\= (-1)/(6) * (4)/(3) \\\\= -(1*4)/(6*3) \\\\= -(1*2)/(3*3) \\\\= -(2)/(9) \\\\\rule[225]{225}{2}`

Hope this helped!

~AH1807