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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(1)/(12)+(11)/(9) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{1}{12}+\frac{11}{9}$ $\newline$ 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}{12}+\frac{11}{9}

\newline

Answer:

Identify LCD: Identify the least common denominator (LCD) for the fractions $-\frac{1}{12}$ and $\frac{11}{9}$ . The denominators are $12$ and $9$ . The LCD for $12$ and $9$ is $36$ because it is the smallest number that both $12$ and $9$ can divide into without a remainder.
Convert fractions: Convert each fraction to an equivalent fraction with the LCD as the new denominator. $\newline$ For $-\frac{1}{12}$ , we multiply the numerator and the denominator by $3$ to get $-\frac{3}{36}$ . $\newline$ For $\frac{11}{9}$ , we multiply the numerator and the denominator by $4$ to get $\frac{44}{36}$ .
Add fractions: Add the two fractions with the common denominator. $\newline$ $-\frac{3}{36} + \frac{44}{36} = \frac{44 - 3}{36} = \frac{41}{36}$
Check simplification: Check if the resulting fraction can be simplified. $\newline$ The fraction $\frac{41}{36}$ is already in its simplest form because $41$ and $36$ have no common factors other than $1$ .

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