The present invention relates to an enzyme complex which the following (i) to (iv) are combined: (i) chimeric beta-agarase formed by a fusion of beta-agarase and the dockerin module of endo-β-1,4-glucanase-B; (ii) chimeric kappa-carrageenase formed by a fusion of kappa-carrageenase and the dockerin module of endo-β-1,4-glucanase-B; (iii) chimeric anhydro-galactosidase formed by a fusion of anhydro-galactosidase and the dockerin module of endoβ-1,4-glucanase-B; and (iv) mini cellulose-binding protein A, and to a method of degrading red algal biomass using the same. According to the present invention, an enzymatic degradation process is applied for the production of agar degradation products, deviating from conventional methods that relied on physical and chemical pretreatment processes. Thus, the present invention will greatly contribute to efficiently converting marine algae into valuable products by use of a convenient, cost-effective, highly efficient and environmentally friendly degradation system while controlling the products.