Write 4.5 as a mixed number and as an improper fraction Write your answer in a simplest form m
The Correct Answer and Explanation is:
To convert 4.5 into a mixed number and an improper fraction, we need to break it down into its integer and fractional parts.
1. As a Mixed Number:
A mixed number consists of an integer and a fraction.
- The integer part of 4.5 is 4.
- The decimal part of 4.5 is 0.5, which can be written as the fraction 1/2 (since 0.5 equals 1/2).
Thus, 4.5 as a mixed number is:
4 1/2
2. As an Improper Fraction:
An improper fraction is one where the numerator is greater than or equal to the denominator. To convert the mixed number 4 1/2 into an improper fraction, we follow these steps:
- Multiply the integer part (4) by the denominator of the fraction (2). This gives:
4 × 2 = 8 - Then, add the numerator of the fraction (1) to the result:
8 + 1 = 9
So, 4 1/2 as an improper fraction is:
9/2
Simplifying:
Both the mixed number and the improper fraction are already in their simplest forms. There are no common factors between the numerator and the denominator in 9/2, and the mixed number is expressed in the most straightforward way.
Conclusion:
- Mixed number: 4 1/2
- Improper fraction: 9/2
These are the simplest forms of 4.5 as a mixed number and as an improper fraction.
