Answer:
[tex] \frac{90}{637} [/tex]
Step-by-step explanation:
[tex]1. \: \frac{1 \times 7 + 3}{7} \div 10 \frac{1}{9} \\ 2. \: \frac{7 + 3}{7} \div 10 \frac{1}{9} \\ 3. \: \frac{10}{7} \div 10 \frac{1}{9} \\ 4. \: \frac{10}{7} \div \frac{10 \times 9 + 1}{9} \\ 5. \: \frac{10}{7} \div \frac{90 + 1}{9} \\ 6. \: \frac{10}{7} \div \frac{91}{9} \\ 7. \: \frac{10}{7} \times \frac{9}{91} \\ 8. \: \frac{10 \times 9}{7 \times 91} \\ 9. \: \frac{90}{7 \times 91} \\ 10. \: \frac{90}{637} [/tex]
