The order of operations is defined by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Therefore
6 + [(-24) ÷ 6] / 19
= 6 + [ -24/6 ] / 19 handle parentheses first
= 6 + (-4) /19
= 6 - 4/19 handle division
= 110/19
= 5 5/9
Answer:
[tex] \frac{110}{19} \,\, or \,\, 5 \, \frac{5}{19} \,\, or \,\, 5.79[/tex]