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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(2)-(8)/(11) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{2}-\frac{8}{11}$ $\newline$ 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}{2}-\frac{8}{11}

\newline

Answer:

Find common denominator: Find a common denominator for the fractions $(\frac{1}{2})$ and $(\frac{8}{11})$ . The least common multiple (LCM) of $2$ and $11$ is $22$ , so we will use $22$ as the common denominator.
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of $22$ . For $(\frac{1}{2})$ , multiply the numerator and denominator by $11$ to get $(\frac{11}{22})$ . For $(\frac{8}{11})$ , multiply the numerator and denominator by $2$ to get $(\frac{16}{22})$ .
Subtract fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{11}{22}) - (\frac{16}{22}) = \frac{11 - 16}{22} = \frac{-5}{22}$
Check for simplification: Check if the resulting fraction can be simplified further. $\newline$ The fraction $-\frac{5}{22}$ is already in its simplest form because $5$ and $22$ have no common factors other than $1$ .

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