Adding Mixed Numbers: 1 1/2 + 1 2/3 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 1/2 and 1 2/3 as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we dive into the addition, let's convert both mixed numbers to improper fractions.
- 1 1/2 = 3/2
- 1 2/3 = 5/3
Adding the Fractions
Now that we have the improper fractions, we can add them:
3/2 + 5/3 = ?
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 2 and 3. The LCM is 6. So, we can convert both fractions to have a denominator of 6:
- 3/2 = 9/6
- 5/3 = 10/6
Now we can add the fractions:
9/6 + 10/6 = 19/6
Converting Back to a Mixed Number
To convert the result back to a mixed number, we can divide the numerator by the denominator:
19 ÷ 6 = 3 with a remainder of 1
So, the result is:
3 1/6
In conclusion, 1 1/2 + 1 2/3 as a fraction is equal to 3 1/6.
