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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{4}{bc} + b$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{4}{bc} + b

Find Common Denominator: First, we need to find a common denominator for the two terms in the expression. Since one term is $\frac{4}{bc}$ and the other is $b$ , the common denominator will be $bc$ .
Express Term with Common Denominator: Now we express the term $b$ with the common denominator $bc$ . To do this, we multiply $b$ by $\frac{c}{c}$ to get $\frac{bc}{c}$ .
Rewrite Expression with Common Denominator: We rewrite the expression with the common denominator: $\newline$ $(\frac{4}{bc}) + (\frac{bc}{c})$ becomes $(\frac{4 + b^2c}{bc})$ .
Check Numerator for Simplification: We check to see if the numerator can be simplified further. Since $4$ and $b^2c$ have no common factors other than $1$ , the numerator is already in simplest form.
Check Fraction for Simplification: We check to see if the fraction itself can be simplified by reducing the numerator and the denominator by any common factors. Since there are no common factors between the numerator and the denominator, the fraction is already in simplest form.

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