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To convert the decimal -8.95 into a mixed number, follow these steps:

  1. Identify the whole number part: The whole number part of -8.95 is -8.
  2. Convert the decimal part: The decimal part is 0.95. To convert this into a fraction:
    • A fraction is created using 0.95 as the numerator.
    • The denominator is 100 because 0.95 is in the hundredths place.
    • So, we have: 0.95 = 95/100.
  3. Simplify the fraction: The fraction 95/100 can be simplified. Both numbers can be divided by 5:
    • 95 ÷ 5 = 19
    • 100 ÷ 5 = 20
  4. So, 95/100 simplifies to 19/20.

Now, we can combine this with the whole number part:

The mixed number is -8 19/20.

Thus, the final answer for -8.95 as a mixed number is -8 19/20.


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