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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (11)/(9)-(11)/(6) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{11}{9}-\frac{11}{6}$ $\newline$ 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}{9}-\frac{11}{6}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{11}{9})$ and $(\frac{11}{6})$ . The common denominator for $9$ and $6$ is $18$ , because $18$ is the least common multiple of $9$ and $6$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $18$ . $\newline$ For $\frac{11}{9}$ , multiply both the numerator and the denominator by $2$ to get $\frac{22}{18}$ . $\newline$ For $\frac{11}{6}$ , multiply both the numerator and the denominator by $3$ to get $\frac{33}{18}$ .
Subtract Fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{22}{18}) - (\frac{33}{18}) = \frac{22 - 33}{18}$
Perform Numerical Subtraction: Perform the subtraction in the numerator. $\newline$ $22 - 33 = -11$ $\newline$ So, the expression becomes $(-11)/18$ .
Check for Simplification: Check if the fraction $(-11)/18$ can be simplified further. $\newline$ The numerator and the denominator have no common factors other than $1$ , so the fraction is already in its simplest form.

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