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

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−516+1116 -\frac{5}{16}+\frac{11}{16} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−516+1116 -\frac{5}{16}+\frac{11}{16} \newlineAnswer:
  1. Identify common denominator: Identify the common denominator.\newlineBoth fractions have the same denominator, which is 1616. This means we can combine the numerators directly.
  2. Add/Subtract numerators: Add/Subtract the numerators.\newlineWe have −516+1116-\frac{5}{16} + \frac{11}{16}, which means we subtract 55 from 1111 because the first term is negative.\newline11−5=611 - 5 = 6
  3. Write result as fraction: Write the result as a fraction.\newlineThe result from Step 22 is the new numerator, and the common denominator is 1616.\newlineSo, the answer is 616\frac{6}{16}.
  4. Simplify fraction: Simplify the fraction.\newlineWe can simplify 616\frac{6}{16} by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline6÷2=36 \div 2 = 3\newline16÷2=816 \div 2 = 8\newlineSo, the simplified fraction is 38\frac{3}{8}.

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