To solve this expression, we follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we need to convert the mixed numbers into improper fractions: 3/7 * 4 1/5 = 3/7 * (4 + 1/5) = 3/7 * ((4 * 5 + 1) / 5) = 3/7 * (21/5) = (321) / (75) = 63/35
Therefore, the result is 63/35 or simplified to 9/5.