To convert the decimal -4.85 into a mixed number, follow these steps:

  1. Separate the Whole Number: The first step is to identify the whole number part of -4.85. In this case, it is -4.
  2. Convert the Decimal to a Fraction: Next, we need to convert the decimal part (0.85) into a fraction. The decimal 0.85 can be expressed as:

0.85 = 85/100

  1. Simplify the Fraction: Now, simplify 85/100. Both the numerator and the denominator can be divided by 5:

85 ÷ 5 = 17
100 ÷ 5 = 20

So, 0.85 simplifies to 17/20.

  1. Combine the Whole Number and Fraction: Now that we have both parts, we can combine them. Since we are dealing with negative numbers, our mixed number will also be negative:

The mixed number is: -4 17/20

Thus, the mixed number for -4.85 is -4 17/20.


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