7 – 1 5/7) • 20/27

To solve this expression, we need to follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

Step 1: Subtract 1 5/7 from 7 7 - 1 5/7 = 7 - 12/7 = (49/7) - (12/7) = 37/7

Step 2: Multiply the result by 20/27 (37/7) • 20/27 = (37 • 20) / (7 • 27) = 740 / 189

So, the result is 740/189.