  We consider slow / fast systems where the slow system is driven by fractional
Brownian motion with Hurst parameter $H>{1\over 2}$. We show that unlike in the
case $H={1\over 2}$, convergence to the averaged solution takes place in
probability and the limiting process solves the 'na\"ively' averaged equation.
Our proof strongly relies on the recently obtained stochastic sewing lemma.
