Adding Mixed Fractions: 2 1/7 + 1 1/4
In this article, we will learn how to add two mixed fractions: 2 1/7 and 1 1/4. Before we dive into the solution, let's review what mixed fractions are and how to add them.
What are Mixed Fractions?
A mixed fraction is a combination of a whole number and a proper fraction. It is used to represent a number that is greater than one whole unit. For example, 2 1/7 is a mixed fraction where 2 is the whole number and 1/7 is the proper fraction.
Adding Mixed Fractions
To add mixed fractions, we need to follow these steps:
- Convert both mixed fractions to improper fractions: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- Find a common denominator: A common denominator is a number that both denominators can divide into evenly.
- Add the numerators: Add the numerators of the two fractions.
- Write the answer as a mixed fraction: Convert the improper fraction back to a mixed fraction.
Let's Add 2 1/7 and 1 1/4
Step 1: Convert to improper fractions
- 2 1/7 = (2 * 7) + 1 = 15/7
- 1 1/4 = (1 * 4) + 1 = 5/4
Step 2: Find a common denominator
The least common multiple (LCM) of 7 and 4 is 28. So, we will convert both fractions to have a denominator of 28.
- 15/7 = (15 * 4) / (7 * 4) = 60/28
- 5/4 = (5 * 7) / (4 * 7) = 35/28
Step 3: Add the numerators
- 60/28 + 35/28 = (60 + 35) / 28 = 95/28
Step 4: Write the answer as a mixed fraction
- 95/28 = 3 11/28
Therefore, 2 1/7 + 1 1/4 = 3 11/28.
