30 4/5-1 2/5*(1 4/5*(12 7/12-9 19/36)-17/35*1 11/34)

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вопрос

To simplify this expression, we will first perform the operations within the parentheses and then multiply the remaining terms.

1 4/5 (12 7/12 - 9 19/36) = 9/5 (147/12 - 277/36)
= 9/5 (36/3 - 77/36)
= 9/5 (12 - 77/36)
= 9/5 (432/36 - 77/36)
= 9/5 (355/36)
= 3195/180

1 11/34 = 1 * 34/34 + 11/34 = 34/34 + 11/34 = 45/34

Now, we can plug the simplified expressions back into the original equation:

30 4/5 - 1 2/5 (3195/180 - 17/35 45/34)
= 154/5 - 7/5 (3195/180 - 765/170)
= 154/5 - 7/5 (3195/180 - 1530/180)
= 154/5 - 7/5 (1665/180)
= 154/5 - 7/5 37/4
= 154/5 - 259/20
= 308/10 - 259/20
= 616/20 - 259/20
= 357/20

So, the simplified result of the expression 30 4/5 - 1 2/5 (1 4/5 (12 7/12 - 9 19/36) - 17/35 * 1 11/34) is 17 17/20.