To convert the decimal -4.85 into a mixed number, follow these steps:
- Separate the Whole Number: The first step is to identify the whole number part of -4.85. In this case, it is -4.
- 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
- 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.
- 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.