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To convert the decimal -4.54 into a mixed number, follow these steps:

  1. Identify the Whole Number: The whole number in -4.54 is -4. This will be the whole part of your mixed number.
  2. Convert the Decimal to a Fraction: Take the decimal part, which is 0.54. To convert it to a fraction, consider that 0.54 can be expressed as 54/100.
  3. Simplify the Fraction: Next, simplify 54/100. Both 54 and 100 can be divided by 2, so:
    • 54 ÷ 2 = 27
    • 100 ÷ 2 = 50

    This gives us the simplified fraction of 27/50.

  4. Combine to Form the Mixed Number: Now, combine the whole number and the fraction. Since the number is negative, we write:
    • -4 27/50

So, -4.54 expressed as a mixed number is -4 27/50.


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