Calculating fractions can be a daunting task, but with the right approach, it can be simplified. In this article, we will break down the calculation of two thirds plus one ninth into three simple steps. Whether you are a student, a teacher, or just someone who wants to improve their math skills, this article will provide you with a clear and concise guide on how to calculate this fraction.
Understanding the Fractions
Before we dive into the calculation, let's first understand the fractions involved. Two thirds is represented as 2/3, and one ninth is represented as 1/9. To calculate the sum of these fractions, we need to find a common denominator.
Step 1: Find the Least Common Multiple (LCM)
To find the common denominator, we need to calculate the least common multiple (LCM) of 3 and 9. The LCM is the smallest number that is a multiple of both numbers. In this case, the LCM of 3 and 9 is 9.
Step 2: Convert the Fractions to Have the Same Denominator
Now that we have found the LCM, we can convert both fractions to have the same denominator. To convert 2/3 to have a denominator of 9, we multiply both the numerator and denominator by 3. This gives us 6/9. The fraction 1/9 already has a denominator of 9, so we don't need to make any changes.
Calculate the Sum
Now that both fractions have the same denominator, we can calculate the sum. To do this, we add the numerators (6 + 1) and keep the denominator the same.
Step 3: Simplify the Fraction (Optional)
The result of the calculation is 7/9. This fraction is already in its simplest form, so we don't need to make any further changes.
Conclusion
Calculating two thirds plus one ninth is a simple process that involves finding the least common multiple, converting the fractions to have the same denominator, and calculating the sum. By following these three steps, you can easily calculate the sum of these fractions.
What is the least common multiple of 3 and 9?
+The least common multiple of 3 and 9 is 9.
How do I convert a fraction to have a different denominator?
+To convert a fraction to have a different denominator, you need to multiply both the numerator and denominator by the same number.
What is the result of calculating two thirds plus one ninth?
+The result of calculating two thirds plus one ninth is 7/9.