Answer:
D = 49/40
Step-by-step explanation:
Solve for D:
D - 3/5 = 5/8
Put each term in D - 3/5 over the common denominator 5: D - 3/5 = (5 D)/5 - 3/5:
(5 D)/5 - 3/5 = 5/8
(5 D)/5 - 3/5 = (5 D - 3)/5:
(5 D - 3)/5 = 5/8
Multiply both sides of (5 D - 3)/5 = 5/8 by 5:
(5 (5 D - 3))/5 = 5×5/8
5×5/8 = (5×5)/8:
(5 (5 D - 3))/5 = (5×5)/8
(5 (5 D - 3))/5 = 5/5×(5 D - 3) = 5 D - 3:
5 D - 3 = (5×5)/8
5×5 = 25:
5 D - 3 = 25/8
Add 3 to both sides:
5 D + (3 - 3) = 25/8 + 3
3 - 3 = 0:
5 D = 25/8 + 3
Put 25/8 + 3 over the common denominator 8. 25/8 + 3 = 25/8 + (8×3)/8:
5 D = 25/8 + (8×3)/8
8×3 = 24:
5 D = 25/8 + 24/8
25/8 + 24/8 = (25 + 24)/8:
5 D = (25 + 24)/8
25 + 24 = 49:
5 D = 49/8
Divide both sides by 5:
D = (49/5)/8
8×5 = 40:
Answer: D = 49/40
