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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(2)+(1)/(18) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{2}+\frac{1}{18}$ $\newline$ 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{1}{2}+\frac{1}{18}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $\frac{1}{2}$ and $\frac{1}{18}$ . The least common multiple (LCM) of $2$ and $18$ is $18$ , so the common denominator will be $18$ .
Convert to Common Denominator: Convert the fraction $\frac{1}{2}$ to have the common denominator of $18$ . To convert $\frac{1}{2}$ to a fraction with a denominator of $18$ , multiply both the numerator and the denominator by $9$ . $\left(\frac{1}{2}\right) \times \left(\frac{9}{9}\right) = \frac{9}{18}$
Add Fractions: Add the converted fraction $\frac{9}{18}$ to the fraction $\frac{1}{18}$ . $\newline$ Now that both fractions have the same denominator, we can add their numerators. $\newline$ $\frac{9}{18} + \frac{1}{18} = \frac{(9 + 1)}{18}$
Simplify Resulting Fraction: Simplify the resulting fraction. $\newline$ $(9 + 1)/18 = 10/18$ $\newline$ Now we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is $2$ . $\newline$ $10/18 \div (2/2) = 5/9$

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