To convert the decimal -4.54 into a mixed number, follow these steps:
- Identify the Whole Number: The whole number in -4.54 is -4. This will be the whole part of your mixed number.
- 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. - Simplify the Fraction: Next, simplify
54/100. Both 54 and 100 can be divided by 2, so: 54 ÷ 2 = 27100 ÷ 2 = 50- Combine to Form the Mixed Number: Now, combine the whole number and the fraction. Since the number is negative, we write:
-4 27/50
This gives us the simplified fraction of 27/50.
So, -4.54 expressed as a mixed number is -4 27/50.