Adding Fractions: 1/3 + 1/12
In this article, we will explore how to add two fractions, 1/3 and 1/12, and simplify the result to a single fraction.
Step 1: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 3 and 12. The LCM of 3 and 12 is 12.
Step 2: Convert Fractions to Have the Same Denominator
Now, we need to convert both fractions to have the same denominator, which is 12.
- 1/3 = 4/12 (multiply numerator and denominator by 4)
- 1/12 = 1/12 (no change needed)
Step 3: Add the Fractions
Now, we can add the fractions:
4/12 + 1/12 = 5/12
Result
The result of adding 1/3 and 1/12 is 5/12.
Simplifying the Result (Optional)
In this case, the result is already in its simplest form. However, if the result had a common factor in the numerator and denominator, we would simplify the fraction by dividing both by the greatest common divisor (GCD).
Conclusion
In this article, we learned how to add two fractions, 1/3 and 1/12, by finding the least common multiple, converting fractions to have the same denominator, and adding the fractions. The result of the addition is 5/12.
