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Compare the fractions 3/2 and 2 4/5 by converting them to decimals.

Mathematics

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Answer

<<

Step-by-step solution

3 steps

Here is the solution to the new problem:

Say if > < or =

  1. Convert the first fraction to a decimal.

    32=1.5\frac{3}{2} = 1.5
  2. Convert the mixed number to a decimal.

    Assuming "2.1" is a poorly written "2" for the mixed number 2452\frac{4}{5}:

    245=2+45=2+0.8=2.82\frac{4}{5} = 2 + \frac{4}{5} = 2 + 0.8 = 2.8
  3. Compare the two decimal values.

    Since 1.5 is less than 2.8, the correct symbol is '<'.

    32<245\frac{3}{2} < 2\frac{4}{5}

    The symbol to fill in the box is <<.

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