Prove the sum of two rational numbers is rational where a, b, c, and d are integers

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

Subtract to find the number of gallons used:

48,555 - 45621 = 2,934 gallons.

Multiply gallons used by price per gallon:

2,934 x 0.12 = $352.08