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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(11)/(2)-(11)/(14) Answer: Submit Answer$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{11}{2}-\frac{11}{14}$ $\newline$ Answer: $\newline$ Submit 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}-\frac{11}{14}

\newline

Answer:

\newline

Submit Answer

Identify LCD: Identify the least common denominator (LCD) for the fractions. $\newline$ The denominators are $2$ and $14$ . The LCD of $2$ and $14$ is $14$ because $14$ is the smallest number that both denominators can divide into without a remainder.
Convert first fraction: Convert the first fraction to have the LCD as its denominator. $\newline$ To convert $-\frac{11}{2}$ to have a denominator of $14$ , multiply both the numerator and the denominator by $7$ (since $14$ divided by $2$ is $7$ ). $\newline$ $-\frac{11}{2} \times \frac{7}{7} = -\frac{77}{14}$
Write with common denominator: Write both fractions with the common denominator. $\newline$ Now we have: $\newline$ $-\frac{77}{14} - \frac{11}{14}$
Subtract numerators: Subtract the numerators of the fractions. $\newline$ Since the denominators are the same, we can subtract the numerators directly: $\newline$ $-77 - 11 = -88$ $\newline$ So the combined fraction is $-\frac{88}{14}$ .
Simplify fraction: Simplify the fraction. $\newline$ To simplify $-\frac{88}{14}$ , we find the greatest common divisor (GCD) of $88$ and $14$ , which is $2$ . $\newline$ Divide both the numerator and the denominator by $2$ : $\newline$ $-\frac{88}{2} = -44$ $\newline$ $\frac{14}{2} = 7$ $\newline$ So the simplified fraction is $-\frac{44}{7}$ .

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