Basic Arithmetic Operations: Evaluating 1/10+1/5
Introduction
In this article, we will explore the basics of arithmetic operations by evaluating the expression 1/10+1/5. This simple calculation is an essential concept in mathematics, and understanding it will help build a strong foundation in arithmetic.
Understanding the Problem
To evaluate the expression 1/10+1/5, we need to understand the concept of fractions and how to add them.
What are Fractions?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). In the case of 1/10, the numerator is 1, and the denominator is 10.
Adding Fractions
To add fractions, we need to follow these steps:
Step 1: Find the Least Common Denominator (LCD)
The LCD is the smallest common multiple of the denominators. In this case, the LCD is 10.
Step 2: Convert Fractions to Have the LCD
We need to convert 1/5 to have a denominator of 10. To do this, we multiply the numerator and denominator by 2:
1/5 = (1 × 2) / (5 × 2) = 2/10
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
1/10 + 2/10 = 3/10
Solution
The result of the expression 1/10+1/5 is 3/10.
Conclusion
In this article, we have successfully evaluated the expression 1/10+1/5 by understanding fractions and following the steps to add them. This basic arithmetic operation is essential in mathematics, and with practice, you will become proficient in evaluating similar expressions.
