Final answer:
The rational numbers from the provided list are: 16.90135, -7.5612, and 60, since they can all be expressed as fractions with an integer denominator. The number 5/π is not rational because π is an irrational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction / quotient of two integers, where the denominator is not zero. It includes integers, finite decimals, and repeating decimals. Let's analyze the given options:
- a. 16.90135 is a finite decimal and can be expressed as a fraction, therefore it is a rational number.
- b. -7.5612 is also a finite decimal which makes it a rational number.
- c. 60 is an integer, and all integers are rational since they can be written as the ratio of themselves to 1 (for example, 60/1), hence it is a rational number.
- d. 5/π is not rational because π (pi) is an irrational number, meaning it cannot be expressed as a fraction of two integers. Therefore, 5/π is an irrational number.
In conclusion, the numbers that are rational from the ones listed are: a. 16.90135, b. -7.5612, and c. 60.