Frazier studied at the John Burroughs School, Saint Louis, under Caroline Risque; at the Pennsylvania Academy of Fine Arts, Philadelphia, under Walker Hancock, Paul Manship, and Harry Rosen; and at the Barnes Foundation, Merion, Pennsylvania. The recipient of the Pennsylvania Academy's 1945 Cresson Traveling Scholarship, he lived and worked in Paris for three years. One of his earliest one-man exhibitions was presented by the Gallerie Ariel in Paris in 1950.
Among Frazier's many commissioned portraits were those of Clark Clifford, when United States Secretary of Defense, and Stephen Galatti, Director General of the American Field Service. His designed the George Vierheller Monument for the Saint Louis Zoo, and the statue Friendship for Blerencourt, France. He was a member of the National Sculpture Society and the Allied Artists of America.
In 1953 Frazier was received a Tiffany Foundation Fellowship. He was awarded the Dessie Greer Prize in the Academy annual exhibition of 1953, and was again the recipient of the Greer Prize in the annual of 1959 for his bust of Guy Pene du Bois.
