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Simplify. Express your answer as a single fraction in simplest form. \newline6wx4w4x+34w4x\frac{6wx}{4w^4x} + \frac{3}{4w^4x}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline6wx4w4x+34w4x\frac{6wx}{4w^4x} + \frac{3}{4w^4x}
  1. Identify common denominator: Identify the common denominator for the fractions. The given fractions have the same denominator, which is 4w4x4w^4x.
  2. Combine numerators: Combine the numerators over the common denominator. Since the denominators are the same, we can add the numerators directly.\newlineThe new fraction becomes (6wx+3)/(4w4x)(6wx + 3)/(4w^{4}x).
  3. Simplify numerator: Simplify the numerator if possible. In this case, there is no common factor between 6wx6wx and 33, so the numerator remains as is.
  4. Check for further simplification: Check if the fraction can be simplified further. Since there are no common factors between the numerator and the denominator, the fraction is already in its simplest form.

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