Chromosomal translocations and deletions are among the major events that initiate neoplasia. For lymphoid chromosomal translocations, misrecognition by the RAG (recombination activating gene) complex of V(D)J recombination is one contributing factor that has long been proposed. The chromosomal translocations involving LMO2 (t(11;14)(p13;q11)), Ttg-1 (t(11;14)(p15;q11)), and Hox11 (t(10;14)(q24;q11)) are among the clearest examples in which it appears that a D or J segment has synapsed with an adventitious heptamer/nonamer at a gene outside of one of the antigen receptor loci. The interstitial deletion at 1p32 involving SIL (SCL-interrupting locus)/SCL (stem cell leukemia) is a case involving two non-V(D)J sites that have been suggested to be V(D)J recombination mistakes. Here we have used our human extrachromosomal substrate assay to formally test the hypothesis that these regions are V(D)J recombination misrecognition sites and, more importantly, to quantify their efficiency as V(D)J recombination targets within the cell. We find that the LMO2 fragile site functions as a 12-signal at an efficiency that is only 27-fold lower than that of a consensus 12-signal. The Ttg-1 site functions as a 23-signal at an efficiency 530-fold lower than that of a consensus 23-signal. Hox11 failed to undergo recombination as a 12- or 23-signal and was at least 20,000-fold less efficient than consensus signals. SIL has been predicted to function as a 12-signal and SCL as a 23-signal. However, we find that SIL actually functions as a 23-signal. These results provide a formal demonstration that certain chromosomal fragile sites can serve as RAG complex targets, and they determine whether these sites function as 12- versus 23-signals. These results quantify one of the three major factors that determine the frequency of these translocations in T-cell acute lymphocytic leukemia.