\(\frac{6}{7}:\frac{9}{14}-1\)
\(=\frac{6}{7}.\frac{14}{9}-1\)
\(=\frac{4}{3}-1\)
\(=\frac{1}{3}\)
\(\frac{6}{7}\div\frac{9}{14}-1=\frac{6}{7}\times\frac{14}{9}-\frac{3}{3}\)
\(=\frac{6.14}{7.9}-\frac{3}{3}\)
\(=\frac{4}{3}-\frac{3}{3}\)
\(=\frac{1}{3}\)