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Simplify. Write your answer using whole numbers and variables.\newline9k+49k2+4k\frac{9k + 4}{9k^2 + 4k}\newline______

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Q. Simplify. Write your answer using whole numbers and variables.\newline9k+49k2+4k\frac{9k + 4}{9k^2 + 4k}\newline______
  1. Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the numerator and the denominator.\newlineThe numerator is 9k+49k + 4, which does not have a common factor other than 11.\newlineThe denominator is 9k2+4k9k^2 + 4k. The common factor for both terms in the denominator is kk.
  2. Factor out GCF from denominator: Factor out the GCF from the denominator.\newlineThe denominator can be factored as k(9k+4)k(9k + 4) because both terms in the denominator have a factor of kk.
  3. Rewrite expression with factored denominator: Rewrite the original expression with the factored denominator.\newlineThe expression becomes (9k+4)/(k(9k+4))(9k + 4)/(k(9k + 4)).
  4. Cancel out common terms: Cancel out the common terms in the numerator and the denominator.\newlineThe term (9k+4)(9k + 4) is present in both the numerator and the denominator, so they cancel each other out.\newlineThis leaves us with 1k\frac{1}{k}.

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