The answer to the given expression when [3(1/6) - 1(5/8)] divided by [8{3/4} - 1.35) will be equal to 0.00896.
Convert mixed numbers to fractions:

Substitute the fractions into the expression:
![([ ((19)/(6)) - 1((5)/(8)) ] )/( [ ((35)/(4)) - 1.35 ])](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gdk91zfxxqk8jhhs59jxg23a7m8pglhm92.png)
Simplify the expression:
Numerator:
Common denominator for (19/6) and (5/8) is 24
19/6 - 1(5/8) = (19/6) - (15/8) = (19*4 - 6*15)/24 = 1/24
Denominator:
Convert 1.35 to fraction: 1.35 = 135/100 = 27/20
Common denominator for (35/4) and (27/20) is 20
(35/4) - 1.35 = (35/4) - (27/20) = (35 * 5 - 27 * 1) / 20 = 123/20
Divide the numerator and denominator by their greatest common divisor (GCD):
GCD(1, 24) = 1
GCD(123, 20) = 1
Simplify the expression:

1 / 111.6 ≈ 0.00896