Adding Fractions: 1/12 + 3/4 as a Fraction
Introduction
When working with fractions, it's essential to know how to add them correctly. In this article, we'll explore how to add two fractions, 1/12 and 3/4, and simplify the result.
Understanding the Fractions
Before we dive into adding the fractions, let's take a closer look at each one:
- 1/12: This fraction has a numerator of 1 and a denominator of 12. It represents one out of twelve equal parts.
- 3/4: This fraction has a numerator of 3 and a denominator of 4. It represents three out of four equal parts.
Adding the Fractions
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 4 is 12. So, we'll convert 3/4 to have a denominator of 12:
- 3/4 = 9/12 (multiply numerator and denominator by 3)
Now we can add the fractions:
1/12 + 9/12 = 10/12
Simplifying the Result
The resulting fraction, 10/12, can be simplified. We can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
10/12 = 5/6
And that's the simplified result!
Conclusion
Adding fractions might seem challenging, but by finding a common denominator and performing the necessary operations, we can obtain the correct result. In this case, 1/12 + 3/4 = 5/6 as a simplified fraction.
