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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (11)/(8)+(-(5)/(16)) Answer: Submit Answer$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{11}{8}+\left(-\frac{5}{16}\right)$ $\newline$ 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.

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\frac{11}{8}+\left(-\frac{5}{16}\right)

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Answer:

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Submit Answer

Identify LCD: Identify the Least Common Denominator (LCD) for the fractions $(\frac{11}{8})$ and $(\frac{-5}{16})$ . The denominators are $8$ and $16$ . The LCD for these two numbers is $16$ because $16$ is the smallest number that both $8$ and $16$ can divide into without leaving a remainder.
Convert to LCD: Convert the fraction $(\frac{11}{8})$ to have the denominator of $16$ . To do this, multiply both the numerator and the denominator of $(\frac{11}{8})$ by $2$ . $(\frac{11}{8}) \times (\frac{2}{2}) = (\frac{22}{16})$
Add fractions: Now that both fractions have the same denominator, add them together. $\newline$ $(\frac{22}{16}) + (-(\frac{5}{16})) = \frac{22 - 5}{16}$
Perform subtraction: Perform the subtraction in the numerator. $22 - 5 = 17$ So, the combined fraction is $(\frac{17}{16})$ .
Check for simplification: Check if the fraction $(17/16)$ can be simplified. $\newline$ Since $17$ is a prime number and $16$ is not a multiple of $17$ , the fraction is already in its simplest form.

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