\[\frac{1}{9\frac{7}{30}},\frac{1}{6}\]

1
Convert 97309\frac{7}{30} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
19×30+730,16\frac{1}{\frac{9\times 30+7}{30}},\frac{1}{6}

2
Simplify  9×309\times 30  to  270270.
1270+730,16\frac{1}{\frac{270+7}{30}},\frac{1}{6}

3
Simplify  270+7270+7  to  277277.
127730,16\frac{1}{\frac{277}{30}},\frac{1}{6}

4
Invert and multiply.
30277,16\frac{30}{277},\frac{1}{6}

Done

How can we make this solution more helpful?