\[4\frac{4^{\backslash 4}}{7} + 6\frac{1^{\backslash 7}}{4} = 4\frac{4 \cdot 4}{28} + 6\frac{1 \cdot 7}{28} =\]
\[= 4\frac{16}{28} + 6\frac{7}{28} = 10\frac{23}{28}.\]