1/2 x 10: Understanding the Basics of Fractions and Multiplication
Introduction
Fractions and multiplication are essential concepts in mathematics that can seem intimidating at first, but with practice and patience, anyone can master them. In this article, we will explore the concept of multiplying a fraction by a whole number, specifically 1/2 x 10.
What is a Fraction?
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 1/2, the numerator is 1, and the denominator is 2.
Multiplying a Fraction by a Whole Number
When multiplying a fraction by a whole number, we are essentially adding the fraction a certain number of times. In this case, we are multiplying 1/2 by 10.
Calculating 1/2 x 10
To calculate 1/2 x 10, we can follow these steps:
- Multiply the numerator (1) by 10: 1 x 10 = 10
- Keep the denominator (2) the same
- Write the answer as a fraction: 10/2
Simplifying the Fraction
The fraction 10/2 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 10 and 2 is 2, so we can divide both numbers by 2:
10 ÷ 2 = 5 2 ÷ 2 = 1
The simplified answer is 5/1, which is equal to 5.
Conclusion
In conclusion, multiplying a fraction by a whole number is a simple process that requires multiplying the numerator by the whole number and keeping the denominator the same. In this case, 1/2 x 10 = 5. With practice and patience, anyone can become proficient in multiplying fractions by whole numbers.
