Question

−9/4v + 4/5 = 7/8

(Find v as a fraction)

Answer 1

`-(9)/(4)v+(4)/(5)=(7)/(8)\qquad\text{multiply both sides by common denominator 40}\\\\40\cdot\left(-(9)/(4)v\right)+40\cdot(4)/(5)=40\cdot(7)/(8)\\\\10(-9v)+8\cdot4=5\cdot7\\\\-90v+32=35\qquad\text{subtract 32 from both sides}\\\\-90v=3\qquad\text{divide both sides by (-90)}\\\\v=-(3)/(90)\\\\\boxed{v=-(1)/(30)}`