This note we give a construction of a quotient ring $R/{mu}$ induced via a fuzzy ideal ${mu}$ in a ring R. The Fuzzy First, Second and Third Isomorphism Theorems are established. For some applications of this construction of quotient rings, we show that if ${mu}$ is a fuzzy ideal of a commutative ring R, then $mu$ is prime (resp. $R/{mu}$ is a field, every zero divisor in $R/{mu}$ is nilpotent). Moreover we give a simpler characterization of fuzzy maximal ideal of a ring.