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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(6)+(1)/(18) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{7}{6}+\frac{1}{18}$ $\newline$ 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{7}{6}+\frac{1}{18}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $\frac{7}{6}$ and $\frac{1}{18}$ . The least common multiple (LCM) of $6$ and $18$ is $18$ , so we will use $18$ as the common denominator.
Convert $\frac{7}{6}$ to Equivalent Fraction: Convert the fraction $\frac{7}{6}$ to an equivalent fraction with a denominator of $18$ . To do this, multiply both the numerator and the denominator by $3$ . $\left(\frac{7}{6}\right) \times \left(\frac{3}{3}\right) = \frac{21}{18}$
Add Fractions with Common Denominator: The fraction $\frac{1}{18}$ already has the common denominator, so no conversion is needed.
Simplify Fraction: Add the two fractions with the common denominator. $\newline$ $(\frac{21}{18}) + (\frac{1}{18}) = \frac{21 + 1}{18} = \frac{22}{18}$
Simplify Fraction: Add the two fractions with the common denominator. $\newline$ $(\frac{21}{18}) + (\frac{1}{18}) = \frac{21 + 1}{18} = \frac{22}{18}$ Simplify the fraction $\frac{22}{18}$ if possible. $\newline$ Both the numerator and the denominator are divisible by $2$ . $\newline$ $(\frac{22}{18}) \div (\frac{2}{2}) = \frac{11}{9}$

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