Subset of a Farey Sequence

Let $\gamma =0.5772156649\dots$ the Euler-Mascheroni constant.

How many terms in the Farey sequence of order n are there such as: $\frac{a}{b}<\gamma$ for $n={10}^9$?

You are given $175452524024$ for $n={10}^6$

[My timing: 30 sec]