Convert the mixed number 4 1/5 to an improper fraction.

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

So, you multiply 4 (the whole number) by 5 (the denominator):

4 × 5 = 20.

Next, you take the result (20) and add the numerator of the fractional part, which is 1:

20 + 1 = 21.

Now, you place this result over the original denominator, which is still 5. Thus, you end up with the improper fraction 21/5.

This process shows that converting mixed numbers involves combining the whole part and the fractional part into a single fraction while maintaining the same denominator. Therefore, the answer of 21/5 accurately represents the mixed number 4 1/5 as an improper fraction.