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11n=85\dfrac{11}{n} = \dfrac{8}{5}

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Full solution

Q. 11n=85\dfrac{11}{n} = \dfrac{8}{5}
  1. Cross-Multiply Fractions: To solve for n, we will cross-multiply the two fractions.\newline11n=85\dfrac{11}{n} = \dfrac{8}{5} becomes 11∗5=n∗811 * 5 = n * 8.
  2. Perform Multiplication: Now, perform the multiplication on the left side of the equation.\newline11∗5=5511 * 5 = 55, so the equation becomes 55=n∗855 = n * 8.
  3. Isolate Variable: Next, we need to isolate n by dividing both sides of the equation by 88.\newline55=n∗855 = n * 8 becomes n=558n = \dfrac{55}{8}.
  4. Simplify Fraction: Finally, we simplify the fraction 558\dfrac{55}{8} if possible. Since 5555 and 88 have no common factors other than 11, the fraction is already in its simplest form.\newlineSo, n=558n = \dfrac{55}{8}.

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