How do you convert 19 5 into a mixed number?

To convert the improper fraction 19/5 into a mixed number, follow these steps:

1. Divide the Numerator by the Denominator: Start by dividing the numerator (19) by the denominator (5). When you do this, you can see how many whole numbers fit into 19. In this case, 19 ÷ 5 = 3 with a remainder.
2. Calculate the Whole Number: Since 5 goes into 19 three times, the whole number part of the mixed number is 3.
3. Find the Remainder: Now, calculate the remainder from the division. 19 – (5 × 3) = 19 – 15 = 4. So we have a remainder of 4.
4. Construct the Mixed Number: The mixed number is composed of the whole number part and the fraction part created from the remainder over the original denominator. This gives us 3 as the whole number and 4/5 as the fraction. Therefore, the mixed number is 3 4/5.

In summary, the mixed number representation of 19/5 is 3 4/5.