To convert the decimal -8.95 into a mixed number, follow these steps:
- Identify the whole number part: The whole number part of -8.95 is -8.
- 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. - Simplify the fraction: The fraction 95/100 can be simplified. Both numbers can be divided by 5:
95 ÷ 5 = 19100 ÷ 5 = 20- So,
95/100simplifies to19/20.
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.