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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(4)+(1)/(6) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{4}+\frac{1}{6}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

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

\newline

\frac{1}{4}+\frac{1}{6}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $\frac{1}{4}$ and $\frac{1}{6}$ . The least common multiple (LCM) of $4$ and $6$ is $12$ , so the common denominator will be $12$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $12$ . For $\frac{1}{4}$ , multiply the numerator and denominator by $3$ to get $\frac{3}{12}$ . For $\frac{1}{6}$ , multiply the numerator and denominator by $2$ to get $\frac{2}{12}$ .
Add Fractions: Add the fractions with the common denominator. $\newline$ $\frac{3}{12} + \frac{2}{12} = \frac{(3 + 2)}{12} = \frac{5}{12}$
Check for Simplification: Check if the resulting fraction can be simplified further. The numerator $5$ and the denominator $12$ have no common factors other than $1$ , so the fraction is already in simplest form.

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