Question

A newly discovered solar system is found 600 billion kilometers from the sun. How many AU does this represent?

Answer 1

I AU (the distance from the earth to the sun) = 1.5 x 10^8 km If you multiply 1 AU/(1.5 x 10^8 km) times your distance, the kilometers cancel out and you're left with a number in AU.

Answer 2

In other words, it's simply:
\[\frac{6x10^{11}km}{1.5x10^8km}=?\space AU\]