Extracavity pulse compression for pulses from an 82MHz mode-locked Ti:sapphire laser is demonstrated by utilizing a tapered fiber of 1 mm in diameter and 10mm in length. Group velocity dispersion of the tapered fiber is calculated, which shows two zero dispersion wavelengths locating at 545 and 1250 nm, respectively. The nonlinear coefficient of the tapered fiber is estimated to be 733 (W-1 km-1) at 880nm wavelength. With 80 fs input pulses at 880nm center wavelength, the optical bandwidth is broadened beyond 22 THz by the tapered fiber. After dispersion compensation by a grating pair with 1.45 cm separation, 26 fs output pulses are obtained. One-third pulse compression ratio has been experimentally demonstrated in this work for center wavelengths ranging from 720 to 880 nm.