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Simplify. Write your answer as a proper or improper fraction in simplest form.\newline109110=□□\frac{\frac{10}{9}}{\frac{1}{10}} = \frac{\square}{\square}

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Full solution

Q. Simplify. Write your answer as a proper or improper fraction in simplest form.\newline109110=□□\frac{\frac{10}{9}}{\frac{1}{10}} = \frac{\square}{\square}
  1. Multiply by reciprocal: To divide by a fraction, multiply by its reciprocal. So, (109)/(110)(\frac{10}{9}) /(\frac{1}{10}) becomes 109×101\frac{10}{9} \times \frac{10}{1}.
  2. Multiply numerators and denominators: Now multiply the numerators and denominators: (10×10)/(9×1)(10 \times 10) / (9 \times 1).
  3. Final result: After multiplication, we get 1009\frac{100}{9}.

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