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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (11)/(20)+(1)/(8) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{11}{20}+\frac{1}{8}$ $\newline$ 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{11}{20}+\frac{1}{8}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{11}{20})$ and $(\frac{1}{8})$ . The least common denominator (LCD) for $20$ and $8$ is $40$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $40$ . $\newline$ $\left(\frac{11}{20}\right)$ becomes $\left(\frac{11\times2}{20\times2}\right) = \left(\frac{22}{40}\right)$ $\newline$ $\left(\frac{1}{8}\right)$ becomes $\left(\frac{1\times5}{8\times5}\right) = \left(\frac{5}{40}\right)$
Add Fractions: Add the fractions with the common denominator. $\newline$ $(\frac{22}{40}) + (\frac{5}{40}) = (\frac{22 + 5}{40}) = (\frac{27}{40})$
Check for Simplification: Check if the resulting fraction can be simplified. $\newline$ The fraction $(\frac{27}{40})$ is already in its simplest form because $27$ and $40$ have no common factors other than $1$ .

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