How to Multiply Fraction by Whole Number
Multiplying a fraction by a whole number is a fundamental concept in mathematics that helps us understand the relationship between fractions and whole numbers. It is a simple process that can be easily mastered with a few basic steps. In this article, we will explore how to multiply a fraction by a whole number and provide some practical examples to help you understand the concept better.
Understanding the Concept
Before we dive into the process, it’s essential to understand the basic concept of multiplying a fraction by a whole number. A fraction represents a part of a whole, while a whole number represents a complete number. When multiplying a fraction by a whole number, we are essentially finding out how many parts of the fraction are equal to the whole number.
Step-by-Step Process
To multiply a fraction by a whole number, follow these simple steps:
1. Multiply the numerator of the fraction by the whole number.
2. Keep the denominator of the fraction unchanged.
3. Simplify the resulting fraction, if possible.
Let’s take a look at an example to illustrate this process.
Example 1
Suppose we want to multiply the fraction 3/4 by the whole number 5.
1. Multiply the numerator (3) by the whole number (5): 3 x 5 = 15.
2. Keep the denominator (4) unchanged.
3. The resulting fraction is 15/4. Since this fraction cannot be simplified further, we have our final answer.
In this example, we have multiplied the fraction 3/4 by the whole number 5, resulting in the fraction 15/4.
Example 2
Now, let’s consider another example: multiplying the fraction 2/5 by the whole number 3.
1. Multiply the numerator (2) by the whole number (3): 2 x 3 = 6.
2. Keep the denominator (5) unchanged.
3. The resulting fraction is 6/5. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is 6/5.
In this example, we have multiplied the fraction 2/5 by the whole number 3, resulting in the simplified fraction 6/5.
Conclusion
Multiplying a fraction by a whole number is a straightforward process that involves multiplying the numerator by the whole number and keeping the denominator unchanged. By following the steps outlined in this article, you can easily multiply fractions by whole numbers and understand the relationship between these two types of numbers. Practice with different examples will help you become more comfortable with this concept and improve your mathematical skills.
