What is 1/6d+2/3=1/4(d-2)

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gercadp3fzlp gercadp3fzlp

02-02-2018
Mathematics

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What is 1/6d+2/3=1/4(d-2)

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HwGuy HwGuy · Answer 1 · 2018-02-02T05:43:39+01:00

1) 1/6d + 2/3 = 1/4 (d-2)
2) 1/6d + 2/3 = 1/4 • d - 1/4 • 2
3) 1/6d + 2/3 = 1/4d - 1/2
4) 4/24d + 16/24 = 6/24d - 12/24
5) 24d-4/24d+16/24 = 6/24d-4/24d-12/24
6) 16/24 = 2/24d - 12/24
7) 16/24 + 12/24 = 2/24d - 12/24 + 12/24
8) 28/24 = 2/24d
9) 14/12 = 1/12d
10) 1/12d • 12 = 14/12 • 2
11) d = 28/12
12) d = 7/3

The answer is d = 7/3. ALL THE WORK IS SHOW above. Only confusing parts may be step 4, all I did was find a common denominator to make it easier. In step 9 I simplify and I also simplify in the last step.