Leonard could spend 1/7 of his paycheck on a new video game.
To determine the amount Leonard could spend on a new video game, we need to calculate the remaining portion of his paycheck after paying his
cell phone bill and saving for savings.
Let's assume Leonard's total paycheck is represented by "x".
Amount spent on cell phone bill: 2/7 * x
Amount saved: 1/3 * x
Remaining amount: x - (2/7 * x) - (1/3 * x)
Combining like terms:
Remaining amount = (1 - 2/7 - 1/3) * x
Remaining amount = (3/7 - 2/7) * x
Remaining amount = 1/7 * x
Therefore, Leonard could spend 1/7 of his paycheck on a new video game.