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rac{8585}{100100} imes rac{55}{2525} imes rac{1818}{1919}

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Multiply and divide rational numbersright chevron icon

Full solution

Q. rac{8585}{100100} imes rac{55}{2525} imes rac{1818}{1919}
  1. Convert to multiplication: Convert division to multiplication by the reciprocal. 85100÷525=85100×255\frac{85}{100} \div \frac{5}{25} = \frac{85}{100} \times \frac{25}{5}
  2. Simplify multiplication: Simplify the multiplication. 85100×255=85×25100×5\frac{85}{100} \times \frac{25}{5} = \frac{85 \times 25}{100 \times 5}
  3. Perform multiplication: Perform the multiplication.\newline(85×25)/(100×5)=2125/500(85 \times 25) / (100 \times 5) = 2125 / 500
  4. Simplify fraction: Simplify the fraction. 2125500=4.25\frac{2125}{500} = 4.25
  5. Multiply by next fraction: Multiply the result by the next fraction. 4.25×18194.25 \times \frac{18}{19}
  6. Perform multiplication: Perform the multiplication. 4.25×1819=76.5194.25 \times \frac{18}{19} = \frac{76.5}{19}
  7. Divide to simplify: Divide to simplify. 76.5/19=4.02631578947368476.5 / 19 = 4.026315789473684

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