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Evaluate. (3)/(5)÷(1)/(9)=

Evaluate.\newline35÷19= \frac{3}{5} \div \frac{1}{9}=

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Full solution

Q. Evaluate.\newline35÷19= \frac{3}{5} \div \frac{1}{9}=
  1. Understanding Division of Fractions: Understand the operation of division between two fractions.\newlineTo divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
  2. Finding the Reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (19)(\frac{1}{9}) is (91)(\frac{9}{1}), because we swap the numerator and denominator.
  3. Multiplying the Fractions: Multiply the first fraction by the reciprocal of the second fraction.\newlineNow we perform the multiplication: (35)×(91)(\frac{3}{5}) \times (\frac{9}{1}).
  4. Performing the Numerical Multiplication: Perform the multiplication of the numerators and denominators.\newlineMultiply the numerators: 3×9=273 \times 9 = 27.\newlineMultiply the denominators: 5×1=55 \times 1 = 5.\newlineSo, (35)×(91)=275\left(\frac{3}{5}\right) \times \left(\frac{9}{1}\right) = \frac{27}{5}.
  5. Simplifying the Result: Simplify the result, if necessary.\newlineThe fraction (27)/(5)(27)/(5) is already in its simplest form, so no further simplification is needed.

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