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Identify the numeric order of these fractions and mixed numbers from largest to smallest: 1(12) , 1/4 , 1(3/4)

, 5/6
.

1 answer

To compare the fractions and mixed numbers, let's first convert everything to improper fractions:

  1. 1(12) = 1 + \( \frac{12}{1} \) = \( \frac{12}{1} = \frac{12}{1} \) (this seems to be interpreted in millions as 1.000 and possibly just as 1 but not a fraction)

  2. 1(3/4) = 1 + \( \frac{3}{4} \) = \( \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \)

  3. 5/6 = \( \frac{5}{6} \)

  4. 1/4 = \( \frac{1}{4} \)

Now we can convert them all to a decimal or find a common denominator to compare them easily:

  • \( \frac{1}{4} = 0.25 \)
  • \( \frac{5}{6} = 0.8333... \)
  • \( \frac{7}{4} = 1.75 \)
  • \( \frac{12}{1} = 12.00 \)

Now let's list them from largest to smallest:

  1. \( 12 \) (1(12))
  2. \( 1.75 \) (1(3/4))
  3. \( 0.8333... \) (5/6)
  4. \( 0.25 \) (1/4)

So, the order from largest to smallest is:

1(12) , 1(3/4) , 5/6 , 1/4