To solve this expression, we first need to simplify the subtraction inside the parentheses:
7 - 1 = 6
Next, we need to convert the mixed numbers to improper fractions and then subtract:
5/9 * 3 = 15/9
1 1/3 = 4/3 4/3 - 15/9
Now, we need to find a common denominator:
4/3 = 12/9
12/9 - 15/9 = -3/9 = -1/3
Now, multiply the result by 1 7/20:
-1/3 * 27/20
To multiply fractions, multiply the numerators together and the denominators together:
(-127)/(320) = -27/60
Now, simplify the result if needed:
-27/60 = -9/20
Therefore, (7-1 5/9 : 1 1/3) • 1 7/20 = -9/20.