  We present precision measurements of the fractional quantized Hall effect
where the quantized resistance $R^{[1/3]}$ in the fractional quantum Hall state
at filling factor 1/3 was compared with a quantized resistance $R^{[2]}$,
represented by an integer quantum Hall state at filling factor 2. A cryogenic
current comparator bridge capable of currents down to the nanoampere range was
used to directly compare two resistance values of two GaAs-based devices
located in two cryostats. A value of $1 - (5.3 \pm 6.3) 10^{-8}$ (95%
confidence level) was obtained for the ratio $(R^{[1/3]}/6R^{[2]})$. This
constitutes the most precise comparison of integer resistance quantization (in
terms of $h/e^2$) in single-particle systems and of fractional quantization in
fractionally charged quasi-particle systems. While not relevant for practical
metrology, such a test of the validity of the underlying physics is of
significance in the context of the up-coming revision of the SI.
