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Divide: (17)/(12)÷(8)/(16)=

Divide:\newline1712÷816=\frac{17}{12}\div\frac{8}{16}=

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Full solution

Q. Divide:\newline1712÷816=\frac{17}{12}\div\frac{8}{16}=
  1. Understand the Problem: Understand the problem.\newlineWe need to divide the fractions" target="_blank" class="backlink">fraction (1712)(\frac{17}{12}) by the fraction (816)(\frac{8}{16}). Division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.
  2. Find the Reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (8/16)(8/16) is (16/8)(16/8) because flipping the numerator and denominator of a fraction gives us its reciprocal.
  3. Multiply the Fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(1712)÷(816)(\frac{17}{12}) \div (\frac{8}{16}) is equivalent to (1712)×(168)(\frac{17}{12}) \times (\frac{16}{8}).
  4. Perform the Multiplication: Perform the multiplication.\newline(1712)×(168)=(17×1612×8)=27296(\frac{17}{12}) \times (\frac{16}{8}) = (\frac{17 \times 16}{12 \times 8}) = \frac{272}{96}.
  5. Simplify the Fraction: Simplify the fraction.\newlineBoth the numerator and the denominator can be divided by 1616.\newline272÷16=17272 \div 16 = 17 and 96÷16=696 \div 16 = 6.\newlineSo, 272/96272 / 96 simplifies to 17/617 / 6.
  6. Check for Further Simplification: Check for any possible further simplification. The fraction 176\frac{17}{6} cannot be simplified further because 1717 is a prime number and does not share any common factors with 66 other than 11.

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