Which one is the biggest between 1/2 and 1/4

Mathematics

ScanSolve AI Answer

Answer

12\frac{1}{2}

Step-by-step solution

4 steps
  1. Find a common denominator for the fractions.

    The denominators are 2 and 4. The least common multiple of 2 and 4 is 4.

  2. Convert the fractions to have the common denominator.

    The fraction 14\frac{1}{4} already has a denominator of 4.
    For 12\frac{1}{2}, multiply the numerator and denominator by 2 to get a denominator of 4:

    12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}
  3. Compare the fractions with the same denominator.

    Now we compare 24\frac{2}{4} and 14\frac{1}{4}.
    Since the denominators are the same, we compare the numerators.

    2>12 > 1

    Therefore,

    24>14\frac{2}{4} > \frac{1}{4}
  4. State the biggest fraction.

    Since 24\frac{2}{4} is equivalent to 12\frac{1}{2}, we can conclude:

    12>14\frac{1}{2} > \frac{1}{4}
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