How do you solve #-\frac { 5} { 9} = w - ( \frac { 3} { 4} )#?

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Answer 1 · 2018-01-25T04:41:20

#color(green)(w = 7/36)#

Given : #-(5/9) = w - (3/4)#

We have to solve for 'w'.

Bring variable term to L H S, and constant terms to R H S.

#-w = (5/9) - (3/4)#

Multiply by (-) sign both sides.

#w = -(5/9) + (3/4)#

Take (9 * 4 = 36) as LCM for the RHS,

#w =( (-4*5) + (3*9)) / 36#

#w = (-20 + 27) / 36#

#color(green)(w = 7/36)#