Final answer:
To write 4.75 as a mixed number, separate the whole number part (4) from the fractional part (0.75), simplify the fraction (3/4), and combine them to get 4 3/4. To write 4.75 as an improper fraction, multiply the whole number part (4) by the denominator (4) and add the numerator (3) to get 19/4.
Step-by-step explanation:
To write 4.75 as a mixed number, we separate the whole number part and the fractional part. The whole number part is 4. The fractional part is 0.75. Since 0.75 is equivalent to 75/100, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor (25). So, 0.75 simplifies to 3/4. Therefore, 4.75 can be written as the mixed number 4 3/4.
To write 4.75 as an improper fraction, we multiply the whole number part (4) by the denominator of the fractional part (4) and add the numerator of the fractional part (3). This gives us 4 * 4 + 3 = 19. So, 4.75 can be written as the improper fraction 19/4.