To solve this problem, one must use PEMDAS. Like the name implies, we need to start with parentheses, so let's start by simplifying all the parentheses, starting with those in the numerator.
(3-0.7·[tex] \frac{5}{7} [/tex]) becomes (3-0.5) which finally becomes 2.5
Now let's move to the denominator.
[tex][5.25*4-(5.9-2.7/ \frac{9}{11})] * 2.5 [/tex]=
=[21-(5.9-3.3)] * 2.5=
=[21-2.6] * 2.5=
=[18.4] * 2.5=
=46
Now that we're done with the denominator, we can move back to the numerator.
0.6+2.4(2.5) - 7 * [tex] \frac{2}{7} [/tex]
Once again, we do PEMDAS
0.6+6-7*[tex] \frac{2}{7} [/tex]=
=0.6+6-2=
=4.6
Now we can put the denominator together with the numerator. The fraction then becomes [tex] \frac{4.6}{46} [/tex], which simplifies to our answer of 0.1.