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Jolly
Mathematics
28 February, 19:22
How do you do this mathematics problem D-3/5=5/8
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Ireland Nicholson
28 February, 19:30
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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
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