[tex]6 - 4 \frac{13}{19} [/tex]

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To simplify the expression:

First, convert the mixed number into an improper fraction:
4 * 19 = 76
76 + 13 = 89

So, the mixed fraction 4 13/19 is equivalent to the improper fraction 89/19.

Now, subtract 6 from 89/19:

89/19 - 6 = 89/19 - 6(19/19) = 89/19 - 114/19 = (89 - 114)/19 = -25/19

Therefore,

6 - 4 13/19 = 6 - 89/19 = 6 - 4 13/19 = -25/19