2 1/4 x 20: Understanding Fractional Multiplication
In mathematics, fractional multiplication can be a bit challenging, but with the right approach, it can be made easy. In this article, we will explore the multiplication of 2 1/4 and 20, and provide a step-by-step guide on how to calculate it.
What does 2 1/4 mean?
Before we dive into the multiplication, let's first understand what 2 1/4 means. 2 1/4 is a mixed number, which is a combination of a whole number and a fraction. In this case, 2 is the whole number, and 1/4 is the fraction.
Converting 2 1/4 to an Improper Fraction
To multiply 2 1/4 with 20, we need to convert the mixed number to an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator.
2 1/4 can be converted to an improper fraction by multiplying the whole number 2 by the denominator 4, and then adding the numerator 1.
(2 x 4) + 1 = 9
So, the improper fraction of 2 1/4 is 9/4.
Multiplying 9/4 with 20
Now that we have converted 2 1/4 to an improper fraction, we can multiply it with 20.
9/4 × 20 = ?
To multiply a fraction with a whole number, we can multiply the numerator 9 with 20, and then divide the product by the denominator 4.
(9 × 20) ÷ 4 = 180 ÷ 4 = 45
So, the result of multiplying 2 1/4 with 20 is 45.
Conclusion
In conclusion, multiplying 2 1/4 with 20 involves converting the mixed number to an improper fraction and then multiplying it with the whole number. By following the steps outlined above, we can easily calculate the result of 2 1/4 × 20, which is 45.
