Adding Mixed Numbers: 1 1/4 + 2 3/8 as a Fraction
When working with mixed numbers, it's essential to understand how to add them correctly. In this article, we'll explore how to add 1 1/4 and 2 3/8 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them into improper fractions. Let's start by converting 1 1/4 and 2 3/8:
1 1/4 as an Improper Fraction
1 1/4 = 5/4 (multiply the whole number part by the denominator and then add the numerator)
2 3/8 as an Improper Fraction
2 3/8 = 19/8 (multiply the whole number part by the denominator and then add the numerator)
Step 2: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of 4 and 8, which is 8.
Step 3: Convert Fractions to Have the Same Denominator
Let's convert the fractions to have the same denominator, which is 8:
5/4 = 10/8
19/8 remains the same
Step 4: Add the Fractions
Now, we can add the fractions:
10/8 + 19/8 = 29/8
The Result
1 1/4 + 2 3/8 = 29/8
There you have it! By following these steps, we've successfully added 1 1/4 and 2 3/8 as a fraction, resulting in 29/8.
