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$Perform the operation and express your answer as a single fraction in simplest form. 4+(1)/(3x) Answer:$

Perform the operation and express your answer as a single fraction in simplest form. $\newline$ $4+\frac{1}{3 x}$ $\newline$ Answer:

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Q. Perform the operation and express your answer as a single fraction in simplest form.

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4+\frac{1}{3 x}

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Answer:

Find Common Denominator: To combine the whole number and the fraction into a single fraction, we need to find a common denominator. The whole number $4$ can be expressed as a fraction with a denominator of $1$ . To combine it with the fraction $\frac{1}{3x}$ , we need to express $4$ with a denominator of $3x$ . This is done by multiplying $4$ by $\frac{3x}{3x}$ , which is equivalent to $1$ . $\newline$ Calculation: $4 \times \frac{3x}{3x} = \frac{12x}{3x}$
Add Fractions: Now that we have a common denominator, we can add the two fractions. $\newline$ Calculation: $(\frac{12x}{3x}) + (\frac{1}{3x}) = \frac{12x + 1}{3x}$
Simplify Fraction: The expression $(12x + 1)/(3x)$ is already in its simplest form because the numerator and the denominator have no common factors other than $1$ .