Final answer:
To find the product of 3/13 and 143, you multiply the numerators and then the denominators and simplify. The result is 33. Therefore, the answer is option b.
Step-by-step explanation:
To multiply the rational number 3/13 by the integer 143, we use the properties of rational numbers:
- First, express the integer 143 as a fraction by placing it over 1, so it becomes 143/1.
- Now multiply the numerators: 3 * 143 = 429.
- Multiply the denominators: 13 * 1 = 13.
- The resulting fraction is 429/13.
- Finally, divide 429 by 13 to simplify the fraction to its lowest terms.
The simplified result is 33, as 429 divided by 13 equals 33. Therefore, the answer is option b.