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Simplify. Express your answer as a single fraction in simplest form. \newline99 −- 2y\frac{2}{y}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline99 −- 2y\frac{2}{y}
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression 9−2y9 - \frac{2}{y}. To combine these terms into a single fraction, we need to have a common denominator.
  2. Find Common Denominator: Find a common denominator.\newlineThe common denominator for the terms 99 and −2/y-2/y is yy, since 99 can be expressed as 9/19/1 and we can multiply the numerator and denominator of 9/19/1 by yy to get the common denominator.
  3. Rewrite with Common Denominator: Rewrite the expression with the common denominator.\newline9−2y9 - \frac{2}{y} can be rewritten as (9yy)−(2y)\left(\frac{9y}{y}\right) - \left(\frac{2}{y}\right).
  4. Combine Fractions: Combine the fractions.\newlineNow that we have a common denominator, we can combine the numerators:\newline(9y−2)/y(9y - 2)/y
  5. Check for Simplification: Check if the fraction can be simplified further.\newlineThe numerator 9y−29y - 2 and the denominator yy do not have any common factors other than 11, so the fraction is already in its simplest form.

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