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Mathematics can often be seen as a challenging subject, but with the right tools and knowledge, it can become a breeze. One topic that often confuses students is multiplying fractions and whole numbers. However, with a clear understanding of the concept, you can tackle these problems with ease. In this article, we will explore the steps involved in multiplying fractions and whole numbers.
Before diving into the steps, let’s refresh our understanding of fractions and whole numbers. Fractions represent a part of a whole, while whole numbers represent complete units. For example, consider 3 as a whole number and 1/4 as a fraction. When we multiply a whole number and a fraction, we are essentially multiplying the numerator of the fraction by the whole number while keeping the denominator the same.
Firstly, let’s look at a simple example to illustrate the process. Suppose we want to multiply the whole number 2 by the fraction 1/3. We start by multiplying the numerator of the fraction (1) by the whole number (2), which gives us 2. Next, we retain the denominator of the fraction (3), which remains unchanged. Therefore, the result of multiplying 2 by 1/3 is 2/3.
Now, let’s move on to a slightly more complicated example. Consider the multiplication of the whole number 4 by the fraction 2/5. Again, we multiply the numerator of the fraction (2) by the whole number (4), resulting in 8. The denominator of the fraction (5) remains the same. Therefore, the answer is 8/5.
To multiply fractions with whole numbers, we can also convert the whole number into a fraction. This can make the process simpler and more straightforward. To convert a whole number into a fraction, we follow a simple rule: the whole number becomes the numerator of the fraction, and the denominator is 1.
Suppose we want to multiply the whole number 3 by the fraction 2/7. We convert the whole number 3 into a fraction, which becomes 3/1. We then follow the same steps as before: multiply the numerators (3 x 2 = 6) and the denominators (1 x 7 = 7). Therefore, the product of 3/1 multiplied by 2/7 is 6/7.
In summary, multiplying fractions and whole numbers requires multiplying the numerator of the fraction by the whole number while keeping the denominator unchanged. Alternatively, we can convert the whole number into a fraction and perform a regular multiplication. Remember to simplify your answer if possible, by reducing the fraction to its lowest terms.
While multiplication with fractions and whole numbers may have seemed intimidating initially, with practice and understanding, it becomes much more manageable. By following the steps outlined in this article, you can confidently tackle these types of problems in no time. So, don’t be discouraged by the complexity of math. With the right strategies, you can conquer any mathematical challenge that comes your way!
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