Operations with Fractions: 1/7 + 1/2
In this article, we will explore the operation of adding two fractions, specifically 1/7 and 1/2. We will go through the step-by-step process of adding these fractions and provide the final answer.
What is a Fraction?
Before we dive into the operation, let's quickly review what a fraction is. A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 1/2, the numerator is 1 and the denominator is 2.
Adding Fractions with Different Denominators
When adding fractions with different denominators, we need to find the least common multiple (LCM) of the two denominators. In this case, the denominators are 7 and 2. The least common multiple of 7 and 2 is 14.
Step 1: Convert the Fractions to Have the Same Denominator
To add the fractions, we need to convert them to have the same denominator, which is 14. We can do this by multiplying both the numerator and denominator of each fraction by the necessary value.
- 1/7 = (1 x 2) / (7 x 2) = 2/14
- 1/2 = (1 x 7) / (2 x 7) = 7/14
Step 2: Add the Fractions
Now that the fractions have the same denominator, we can add them:
2/14 + 7/14 = (2 + 7) / 14 = 9/14
The Final Answer
The result of adding 1/7 and 1/2 is 9/14.
