How to Add a Fraction and a Whole Number

Adding a fraction and a whole number is a straightforward process once you understand the steps involved. Here’s how you can do it:

1. Convert the Whole Number to a Fraction: Every whole number can be expressed as a fraction. For instance, if you want to add the whole number 3 to the fraction 2/5, you can convert 3 into a fraction by expressing it as 3/1.
2. Find a Common Denominator: To add a fraction and a whole number (which is now a fraction), you need a common denominator. In the example above, the fractions are 3/1 and 2/5. The denominators are 1 and 5. The least common denominator (LCD) between 1 and 5 is 5.
3. Convert the Whole Number Fraction: Now, convert 3/1 into a fraction with a denominator of 5. You do this by multiplying both the numerator and the denominator of 3/1 by 5, which gives you 15/5.
4. Add the Two Fractions: Now that both fractions have the same denominator, you can add them. You have 15/5 and 2/5. Add the numerators: 15 + 2 = 17. Keep the denominator the same: 5. So, 15/5 + 2/5 = 17/5.
5. Convert back to a Mixed Number (if necessary): If you prefer the answer as a mixed number, you can divide the numerator by the denominator. In this case, 17 divided by 5 is 3 with a remainder of 2, so you can express 17/5 as 3 2/5.

In summary, to add a fraction to a whole number, convert the whole number to a fraction, find a common denominator, add the fractions, and convert back if needed. This method will ensure that you get the correct sum!