18 17/24-х=15 9/16, (х+11/24)-5/6=10 7/8, (х-3/4)+5/12=12 13/24

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To solve the first equation, we need to isolate x.

18 17/24 - x = 15 9/16

First, convert both sides to improper fractions:

(18 24 + 17) / 24 - x = (15 16 + 9) / 16

(432 + 17) / 24 - x = (240 + 9) / 16

449 / 24 - x = 249 / 16

Now, find a common denominator for both fractions:

449 4 / (24 4) - x = 249 3 / (16 3)

1796 / 96 - x = 747 / 48

19 - x = 15.5625

-x = -3.4375

x = 3.4375

So, x = 3 7/16

Moving on to the second equation:

(x + 11/24) - 5/6 = 10 7/8

(x + 11/24) - 5/6 = 87/8

(x + 11/24) - 20/24 = 87/8

x - 9/24 = 87/8

x - 3/8 = 87/8

x = 87/8 + 3/8

x = 90/8

x = 11 1/4

Lastly, for the third equation:

(x - 3/4) + 5/12 = 12 13/24

(x - 3/4) + 5/12 = 307/24

(x - 3/4) + 2/3 = 307/24

(x - 3/4) + 8/12 = 307/24

(x - 3/4) + 2/3 = 307/24

x - 3/4 = 307/24 - 16/24

x - 3/4 = 291/24

x - 3/4 = 291/24

x = 291/24 + 3/4

x = 291/24 + 18/24

x = 309/24

x = 12 21/24

Therefore, the solutions are:

x = 3 7/16
x = 11 1/4
x = 12 21/24