Final answer:
To divide the rational number 3/4 by 5/1, multiply by the reciprocal of the second fraction, resulting in 3/4 multiplied by 1/5 which gives the final answer of 3/20.
Step-by-step explanation:
To perform the division of the rational numbers 3/4 ÷ 5/1, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 5/1 is 1/5. So, the operation becomes 3/4 × 1/5.
Now, we perform the multiplication by multiplying the numerators together and the denominators together. The product of the numerators 3 and 1 is 3, and the product of the denominators 4 and 5 is 20. Therefore, the result of the multiplication is 3/20, which is the final answer for 3/4 ÷ 5/1.