Adding Mixed Numbers: 1 5/6 + 1 3/4 as a Fraction
When dealing with mixed numbers, it's essential to understand how to add them correctly. In this article, we'll explore the process of adding 1 5/6 and 1 3/4 as a fraction.
Breaking Down the Mixed Numbers
Let's break down the mixed numbers into their whole number and fraction parts:
- 1 5/6 = 1 + 5/6
- 1 3/4 = 1 + 3/4
Converting to a Common Denominator
To add these mixed numbers, we need to convert them to a common denominator. The least common multiple (LCM) of 6 and 4 is 12. So, we'll convert both fractions to have a denominator of 12:
- 5/6 = 10/12
- 3/4 = 9/12
Now, we can rewrite the mixed numbers with the common denominator:
- 1 10/12
- 1 9/12
Adding the Mixed Numbers
Next, we'll add the whole number parts and the fraction parts separately:
- Whole number parts: 1 + 1 = 2
- Fraction parts: 10/12 + 9/12 = 19/12
Combining the Results
Now, we'll combine the whole number and fraction parts to get the final result:
- 2 19/12
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case:
- 19/12 = 19/12 (no simplification possible)
Therefore, the result of adding 1 5/6 and 1 3/4 is:
2 19/12
This is the final answer in mixed number form.
