Solve for d:
1.6 d+2/3 = (d-2)/4
Put each term in 1.6 d+2/3 over the common denominator 3: 1.6 d+2/3 = (4.8 d)/3+2/3:
(4.8 d)/3+2/3 = (d-2)/4
(4.8 d)/3+2/3 = (4.8 d+2)/3:
(4.8 d+2)/3 = (d-2)/4
Multiply both sides by 12:
(12 (4.8 d+2))/3 = (12 (d-2))/(4)
12/3 = (3×4)/3 = 4:
4 (4.8 d+2) = (12 (d-2))/4
12/4 = (4×3)/4 = 3:
4 (4.8 d+2) = 3 (d-2)
Expand out terms of the left hand side:
19.2 d+8 = 3 (d-2)
Expand out terms of the right hand side:
19.2 d+8 = 3 d-6
Subtract 3 d from both sides:
(19.2 d-3 d)+8 = (3 d-3 d)-6
19.2 d-3 d = 16.2 d:
16.2 d+8 = (3 d-3 d)-6
3 d-3 d = 0:
16.2 d+8 = -6
Subtract 8 from both sides:
16.2 d+(8-8) = -6-8
8-8 = 0:
16.2 d = -6-8
-6-8 = -14:
16.2 d = -14
Divide both sides of 16.2 d = -14 by 16.2:
(16.2 d)/16.2 = (-14)/16.2
16.2/16.2 = 1:
d = (-14)/16.2
(-14)/16.2 = -0.864198:
Answer: |d = -0.864198= - 70/81
