To convert the decimal 4.75 into a mixed number and an improper fraction:
-
Mixed Number:
- The whole number part is 4.
- The decimal part is 0.75, which can be expressed as a fraction:
- 0.75 = 75/100 = 3/4 (simplified from 75 and 100 by dividing both by 25).
- Therefore, 4.75 as a mixed number is: \[ 4 \frac{3}{4} \]
-
Improper Fraction:
- To convert the mixed number \(4 \frac{3}{4}\) to an improper fraction, use the formula: \[ \text{Improper Fraction} = ( \text{whole number} \times \text{denominator} ) + \text{numerator} \]
- So in this case: \[ 4 \times 4 + 3 = 16 + 3 = 19 \]
- Thus, \(4 \frac{3}{4} = \frac{19}{4}\) as an improper fraction.
In summary:
- As a mixed number: \(4 \frac{3}{4}\)
- As an improper fraction: \(\frac{19}{4}\)