Adding Mixed Numbers: 1 1/3 + 3 3/4 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 1/3 and 3 3/4 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them into improper fractions. Here's how to do it:
Convert 1 1/3 to an Improper Fraction
- Multiply the whole number part (1) by the denominator (3): 1 × 3 = 3
- Add the numerator (1) to the product: 3 + 1 = 4
- Write the result as an improper fraction: 4/3
Convert 3 3/4 to an Improper Fraction
- Multiply the whole number part (3) by the denominator (4): 3 × 4 = 12
- Add the numerator (3) to the product: 12 + 3 = 15
- Write the result as an improper fraction: 15/4
Step 2: Add the Improper Fractions
Now that we have both mixed numbers converted to improper fractions, we can add them:
- 4/3 + 15/4 = ?
To add these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 4 is 12. So, we'll convert both fractions to have a denominator of 12:
- 4/3 = 16/12
- 15/4 = 45/12
Now, add the fractions:
- 16/12 + 45/12 = 61/12
The Result
The result of 1 1/3 + 3 3/4 as a fraction is:
61/12
There you have it! By converting mixed numbers to improper fractions and adding them correctly, we've arrived at the result: 61/12.
