At their closest, the distance between Earth and Jupiter is about 4.2 AU (astronomical units). This happens when Jupiter is at its closest point to the Sun (perihelion) and Earth is at its furthest point (aphelion).
At their furthest, the distance between Earth and Jupiter is about 6.2 AU. This happens when Jupiter is at its furthest point from the Sun (aphelion) and Earth is at its closest point (perihelion).
Therefore, the distance between Jupiter and Earth ranges from approximately 4.2 to 6.2 AU.