Write 4.8 as a mixed number and as an improper fraction
The Correct Answer and Explanation is:
To express 4.8 as a mixed number and an improper fraction, we need to break the decimal into its whole and fractional parts.
Step 1: Convert 4.8 into a mixed number
A mixed number consists of a whole number and a proper fraction. The whole number part of 4.8 is 4, and the decimal part is 0.8.
Now, we need to convert 0.8 into a fraction:
- 0.8 is the same as 8 tenths, so it can be written as the fraction 8/10.
Next, simplify the fraction 8/10. To do this, find the greatest common divisor (GCD) of 8 and 10, which is 2. Divide both the numerator and the denominator by 2:
- 8 ÷ 2 = 4
- 10 ÷ 2 = 5
So, 8/10 simplifies to 4/5.
Thus, 4.8 as a mixed number is:
- 4 4/5
Step 2: Convert 4.8 into an improper fraction
To express the mixed number 4 4/5 as an improper fraction:
- Multiply the whole number part (4) by the denominator of the fraction (5):
- 4 × 5 = 20
- Add the numerator of the fractional part (4) to this product:
- 20 + 4 = 24
So, the improper fraction form is 24/5.
Final Answer:
- Mixed number form: 4 4/5
- Improper fraction form: 24/5
Explanation:
A mixed number is a combination of a whole number and a fraction. To convert a decimal like 4.8 into a mixed number, we first separate the whole number part (4) and the decimal part (0.8). We then convert the decimal into a fraction and simplify it. In this case, 0.8 becomes 8/10, which simplifies to 4/5.
An improper fraction represents a number where the numerator is greater than or equal to the denominator. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and then add the numerator of the fraction. This gives us the improper fraction 24/5.