What is the improper fraction representation of the mixed number 4 1/5?

To convert a mixed number into an improper fraction, you start by multiplying the whole number part by the denominator of the fractional part. In this case, the whole number is 4 and the denominator of the fraction (1/5) is 5.

Calculating this gives you:

4 (the whole number) × 5 (the denominator) = 20.

Next, you add the numerator of the fractional part to this product, which is 1. So you add:

20 + 1 = 21.

Thus, the improper fraction representation of the mixed number 4 1/5 is 21/5. This conversion process shows how to accurately represent a mixed number as an improper fraction, ensuring that you correctly account for both the whole number and the fractional component.