Final answer:
To solve 17 ÷ 5/9, multiply 17 by the reciprocal of 5/9.
Step-by-step explanation:
To solve the expression 17 ÷ 5/9, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
The second step is to apply the division operation. When dividing by a fraction, we can multiply by its reciprocal instead. Therefore, we can rewrite the expression as 17 × 9/5.
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers). So, 17 × 9 = 153, and 5 × 1 = 5. Therefore, the answer is 153/5.