Common Toads are a member of the Bufo family where as Common Frogs are a member of the Rana Genus.
Toads are to Frogs, as Chimps are to us.
OK, right, I’ve had a look at some books and websites because I’m a pedantic git and I’m not having some bearded ex-comedian-turned-bird-worrier telling me I’m wrong.
Assuming you’re talking about ‘True Frogs’ (Ranidae, a family not a genus) and ‘True Toads’ (Bufonidae), then it looks like you’re right, but then you’re being a bit simplistic and ignoring lots of other frog-type species. Bufonidae themselves are part of the Neobactrians or ‘Higher Frogs’, and both Ranidae, Bufonidae and all the other numerous groupings of frogs and toads are part of the Anura order, which is the overall clade generally referred to as containing frogs and all their fossil relatives.
As far as I can see toads (true or otherwise) are a sort of frog, unless you only mean ‘true frogs’, but then that excludes lots of other sorts of frogs from the overall frog order, which isn’t right either. So, really, toads are to frogs as chimps and humans are to primates.