Welcome, esteemed visitor, to our latest exploration into the captivating world of fractions and division. In this tutorial, we will tackle the concrete question of calculating the value of 2/3 of the whole number 33. This mathematical odyssey seeks to build a solid foundation for understanding fractions, and we will do so with the patience and care that such complex topics deserve.
To begin our journey, let us introduce the essential terminology. In the realm of fractions, the numerator is the part of the whole that we are interested in, and the denominator represents the totality of the whole itself. In this particular instance, our whole number is 33, and our fraction is 2/3. To calculate 2/3 of 33, we must first convert the whole number into an equivalent fraction. Simple enough,我们将33转换为分数形式, which is 33/1.
Now, to calculate the fraction of a number, we multiply the numerator of one fraction by the second fraction, and then divide the result by the second numerator. Thus, our calculation proceeds as follows:
( \frac{2}{3} \times \frac{33}{1} = \frac{2 \times 33}{3 \times 1} )
As we perform the multiplication, we are essentially creating a new fraction that represents the product of 2 and 33. This new fraction is 66/3, which simplifies quite nicely:
( \frac{66}{3} = 22 )
Thus, we have derived our answer: 22 is the fraction of 33 represented by 2/3. This process is quite elegant and can be applied to any whole number and fraction, providing a clear and universal method for working with fractions.
We hope that this tutorial has been helpful in demystifying the concept of fractions and division. As you continue to explore the fascinating universe of mathematics, we encourage you to exercise your minds with other fraction exercises and problems. The more you practice, the more you will develop your intuition and proficiency in handling these mathematical challenges.
Thank you for your valuable time and attention. We trust that you will find this educational content to be both informative and engaging.
