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Perform the operation and express your answer as a single fraction in simplest form. (1)/(4x)+4 Answer:

Perform the operation and express your answer as a single fraction in simplest form.\newline14x+4 \frac{1}{4 x}+4 \newlineAnswer:

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Full solution

Q. Perform the operation and express your answer as a single fraction in simplest form.\newline14x+4 \frac{1}{4 x}+4 \newlineAnswer:
  1. Identify terms: Identify the terms to be added.\newlineWe have two terms: 14x\frac{1}{4x} and 44. To add them, we need a common denominator.
  2. Convert to fraction: Convert the whole number to a fraction.\newlineThe whole number 44 can be written as a fraction with the same denominator as the first term. Since the denominator of the first term is 4x4x, we write 44 as (4x)/(4x)(4x)/(4x).
  3. Add fractions: Add the fractions.\newlineNow we add (14x)(\frac{1}{4x}) and (4x4x)(\frac{4x}{4x}).\newline(14x)+(4x4x)=(1+4x4x)(\frac{1}{4x}) + (\frac{4x}{4x}) = (\frac{1 + 4x}{4x})
  4. Simplify numerator: Simplify the numerator.\newlineThe numerator 1+4x1 + 4x is already in its simplest form, so the fraction (1+4x)/(4x)(1 + 4x)/(4x) is the final answer.

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