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Simplify. Write your answer as a proper or improper fraction in simplest form. ((50)/(33))/((31)/(34))= ◻

Simplify. Write your answer as a proper or improper fraction in simplest form.\newline50333134= \frac{\frac{50}{33}}{\frac{31}{34}}= ____________

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Full solution

Q. Simplify. Write your answer as a proper or improper fraction in simplest form.\newline50333134= \frac{\frac{50}{33}}{\frac{31}{34}}= ____________
  1. Identify Operation: Step 11: Identify the operation required for simplification.\newlineWe need to divide the fractions (50/33)(50/33) by (31/34)(31/34). This involves multiplying the first fraction by the reciprocal of the second fraction.\newlineCalculation: ((50/33))×((34/31))((50/33)) \times ((34/31))
  2. Perform Multiplication: Step 22: Perform the multiplication of the numerators and the denominators.\newlineMultiply the numerators: 50×34=170050 \times 34 = 1700\newlineMultiply the denominators: 33×31=102333 \times 31 = 1023\newlineNew fraction: (1700/1023)(1700/1023)
  3. Simplify Fraction: Step 33: Simplify the fraction to its simplest form.\newlineCheck if 17001700 and 10231023 have any common factors. The greatest common divisor (GCD) of 17001700 and 10231023 is 11.\newlineSince the GCD is 11, the fraction is already in its simplest form.

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