To simplify this expression, first convert the mixed numbers to improper fractions.
16 - (13*7) / 7 = (112 - 91) / 7 = 21 / 7 = 3
Next, convert 4/7 to an improper fraction:
4/7 = (4*7 + 1) / 7 = 29 / 7
To divide by the fraction 7/9, we multiply by its reciprocal (9/7):
3 * (9 / 7) = 27 / 7
Finally, multiply by the fraction 10 5/9:
27 / 7 (10 + 5/9) = 27 / 7 ((90 + 5) / 9) = 27 / 7 (95 / 9) = (27 95) / (7 * 9) = 2565 / 63
Therefore, the answer is 2565 / 63.
To simplify this expression, first convert the mixed numbers to improper fractions.
16 - (13*7) / 7 = (112 - 91) / 7 = 21 / 7 = 3
Next, convert 4/7 to an improper fraction:
4/7 = (4*7 + 1) / 7 = 29 / 7
To divide by the fraction 7/9, we multiply by its reciprocal (9/7):
3 * (9 / 7) = 27 / 7
Finally, multiply by the fraction 10 5/9:
27 / 7 (10 + 5/9) = 27 / 7 ((90 + 5) / 9) = 27 / 7 (95 / 9) = (27 95) / (7 * 9) = 2565 / 63
Therefore, the answer is 2565 / 63.