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Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(2)+(3)/(16) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline12+316 \frac{1}{2}+\frac{3}{16} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline12+316 \frac{1}{2}+\frac{3}{16} \newlineAnswer:
  1. Identify Common Denominator: Identify a common denominator for the fractions (1)/(2)(1)/(2) and (3)/(16)(3)/(16). Since 1616 is a multiple of 22, we can use 1616 as the common denominator.
  2. Convert to Common Denominator: Convert the fraction (1)/(2)(1)/(2) to have the common denominator of 1616. To do this, multiply both the numerator and the denominator by 88. (1)/(2)×(8)/(8)=(8)/(16)(1)/(2) \times (8)/(8) = (8)/(16)
  3. Add Fractions: Add the converted fraction (8)/(16)(8)/(16) to the fraction (3)/(16)(3)/(16).\newline(8)/(16)+(3)/(16)=(8+3)/(16)(8)/(16) + (3)/(16) = (8 + 3)/(16)
  4. Perform Addition: Perform the addition in the numerator.\newline(8+3)/(16)=(11)/(16)(8 + 3)/(16) = (11)/(16)
  5. Check for Simplification: Check if the resulting fraction (11)/(16)(11)/(16) can be simplified.\newlineSince 1111 is a prime number and does not share any common factors with 1616 other than 11, the fraction is already in its simplest form.

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