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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (11)/(2)+(-(12)/(5)) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{11}{2}+\left(-\frac{12}{5}\right)$ $\newline$ 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{11}{2}+\left(-\frac{12}{5}\right)

\newline

Answer:

Identify Fractions: Identify the fractions to be added. $\newline$ We have two fractions: $\frac{11}{2}$ and $\frac{-12}{5}$ . We need to add these fractions together.
Find Common Denominator: Find a common denominator for the fractions. $\newline$ The denominators are $2$ and $5$ . The least common multiple of $2$ and $5$ is $10$ , which will be our common denominator.
Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator. $\newline$ For $(\frac{11}{2})$ , we multiply the numerator and the denominator by $5$ to get $(\frac{55}{10})$ . $\newline$ For $(-(\frac{12}{5})))$ , we multiply the numerator and the denominator by $2$ to get $(-(\frac{24}{10})))$ .
Add Fractions: Add the fractions with the common denominator. $\newline$ Now we add $(\frac{55}{10})$ and $(-(\frac{24}{10}))$ together. $\newline$ $(\frac{55}{10}) + (-(\frac{24}{10})) = (\frac{55 - 24}{10}) = \frac{31}{10}$
Simplify Result: Simplify the result, if necessary. $\newline$ The fraction $\frac{31}{10}$ is already in its simplest form because $31$ and $10$ have no common factors other than $1$ .

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