Question

Rewrite the expression g+1/6d-3/4g+1/9g-g+1/4d in STANDARD FORM I NEED THIS ASAP AND I NEED ALL STEPS!

Answer 1

`-(23)/(36)g+(5)/(12)d`

Explanation:

Given:

`g+(1)/(6)d-(3)/(4)g+(1)/(9)g-g+(1)/(4)d`

Solving for g and d we get,

`g+(1)/(6)d-(3)/(4)g+(1)/(9)g-g+(1)/(4)d\\(1)/(6)d-(3)/(4)g+(1)/(9)g+(1)/(4)d`

Now taking LCM for all we get,

`(1*6)/(6*6)d-(3*9)/(4*9)g+(1* 4)/(9*4)g+(1* 9)/(4* 9)d\\(6)/(36)d-(27)/(36)g+(4)/(36)g+(9)/(36)d\\(6d-27g+4g+9d)/(36)\\(-23g+15d)/(36)\\-(23)/(36)g+(15)/(36)d\\-(23)/(36)g+(5)/(9)d`