Understanding Fractions: 1 over 5 + 1 over 10 as a Fraction
Fractions are an essential part of mathematics, and understanding how to add them is a crucial skill. In this article, we'll explore how to add two fractions, specifically 1 over 5 and 1 over 10, and convert the result into a single fraction.
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). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
The Problem: 1 over 5 + 1 over 10
Let's break down the problem: we need to add 1 over 5 and 1 over 10. To do this, we need to find a common denominator between the two fractions.
Finding the Common Denominator
The least common multiple (LCM) of 5 and 10 is 10. So, we can convert both fractions to have a denominator of 10:
- 1 over 5 = 2 over 10 (multiply numerator and denominator by 2)
- 1 over 10 = 1 over 10 (no change needed)
Now we can add the two fractions:
Adding the Fractions
2 over 10 + 1 over 10 = 3 over 10
The result of adding 1 over 5 and 1 over 10 is 3 over 10.
Conclusion
In this article, we learned how to add two fractions, 1 over 5 and 1 over 10, by finding a common denominator and converting the result into a single fraction. The final answer is 3 over 10. This skill is essential in various mathematical operations, and understanding fractions is crucial for problem-solving in mathematics.
