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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (12)/(19)+(11)/(19) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{12}{19}+\frac{11}{19}$ $\newline$ 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{12}{19}+\frac{11}{19}

\newline

Answer:

Identify common denominators: Identify common denominators. $\newline$ The fractions $(\frac{12}{19})$ and $(\frac{11}{19})$ have the same denominator, which is $19$ . When adding fractions with the same denominator, you only need to add the numerators and keep the denominator the same.
Add the numerators: Add the numerators. $\newline$ Add the numerators $12$ and $11$ . $\newline$ $12 + 11 = 23$
Write the sum as a fraction: Write the sum as a fraction. $\newline$ Combine the sum of the numerators over the common denominator. $\newline$ $(\frac{12}{19}) + (\frac{11}{19}) = \frac{12 + 11}{19} = \frac{23}{19}$
Simplify the fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{23}{19}$ cannot be simplified further because $23$ and $19$ have no common factors other than $1$ .

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