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Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(2)-(1)/(4) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline12−14 \frac{1}{2}-\frac{1}{4} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline12−14 \frac{1}{2}-\frac{1}{4} \newlineAnswer:
  1. Identify Common Denominator: Identify a common denominator for the fractions (12)(\frac{1}{2}) and (14)(\frac{1}{4}). The least common denominator (LCD) for 22 and 44 is 44.
  2. Convert Fractions: Convert the fractions to have the same denominator.\newline(12)(\frac{1}{2}) can be written as (24)(\frac{2}{4}) because (12)×(22)=(24)(\frac{1}{2}) \times (\frac{2}{2}) = (\frac{2}{4}).\newline(14)(\frac{1}{4}) already has the denominator 44, so it remains the same.
  3. Subtract Fractions: Subtract the fractions now that they have a common denominator.\newline(24)−(14)=2−14(\frac{2}{4}) - (\frac{1}{4}) = \frac{2 - 1}{4}
  4. Perform Subtraction: Perform the subtraction in the numerator. 2−1=12 - 1 = 1
  5. Write Result: Write the result as a fraction.\newlineThe result of the subtraction is (14)(\frac{1}{4}).

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