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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (3)/(4)+(11)/(6) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{3}{4}+\frac{11}{6}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

\frac{3}{4}+\frac{11}{6}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{3}{4})$ and $(\frac{11}{6})$ . The denominators are $4$ and $6$ . The least common multiple (LCM) of $4$ and $6$ is $12$ , which will be our common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $12$ . $\newline$ For $\frac{3}{4}$ , multiply the numerator and denominator by $3$ to get $\frac{3\times 3}{4\times 3} = \frac{9}{12}$ . $\newline$ For $\frac{11}{6}$ , multiply the numerator and denominator by $2$ to get $\frac{11\times 2}{6\times 2} = \frac{22}{12}$ .
Add Fractions with Common Denominator: Add the fractions with the common denominator. $\newline$ $(\frac{9}{12}) + (\frac{22}{12}) = (\frac{9 + 22}{12}) = \frac{31}{12}$ .
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{31}{12}$ is already in its simplest form because $31$ is a prime number and cannot be divided evenly by $12$ .

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