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Divide. Simplify your answer. \newline2u19s÷9u\frac{2u}{19s} \div 9u

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Full solution

Q. Divide. Simplify your answer. \newline2u19s÷9u\frac{2u}{19s} \div 9u
  1. Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (2u19s)÷(9u)(\frac{2u}{19s}) \div (9u) becomes (2u19s)×(19u)(\frac{2u}{19s}) \times (\frac{1}{9u}).
  2. Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (2u19s)×(19u)(\frac{2u}{19s}) \times (\frac{1}{9u}) becomes (2u×119s×9u)(\frac{2u \times 1}{19s \times 9u}).
  3. Perform multiplication: Perform the multiplication in the numerator and the denominator. So, (2u×1)/(19s×9u)(2u \times 1)/(19s \times 9u) becomes 2u/(171su)2u/(171su).
  4. Simplify expression: Simplify the expression by canceling out the common factor 'uu' in the numerator and the denominator. So, 2u171su\frac{2u}{171su} becomes 2171s\frac{2}{171s}.
  5. Check for further simplification: Check if the fraction can be simplified further. Since 22 and 171171 have no common factors other than 11, the fraction is already in its simplest form.

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