Doubling 1 1/3: Understanding the Calculation

In mathematics, doubling a number means multiplying it by two. In this article, we will focus on doubling the value of 1 1/3 and explore the step-by-step process to obtain the result. Join us as we unravel the calculation behind doubling 1 1/3 and understand the concept of doubling fractions.

 

Double a Recipe

I. Understanding 1 1/3:

Before we dive into doubling the value of 1 1/3, let's clarify its meaning and representation.

A. Definition:

• 1 1/3 is a mixed number that consists of a whole number (1) and a fraction (1/3).
•  
• It can also be expressed as an improper fraction, which is 4/3.
•  

B. Representation: 1 1/3 can be visually represented as one whole unit and one-third of another unit.

II. Doubling 1 1/3:

Step-by-Step Calculation: To double the value of 1 1/3, we need to multiply it by 2. Let's go through the calculation process.

A. Converting to an Improper Fraction:

• To facilitate the calculation, we convert the mixed number 1 1/3 to an improper fraction, which is 4/3.
•  

B. Doubling the Fraction:

• To double the value of the fraction, we multiply the numerator (4) by 2, resulting in 8.
•  
• The denominator remains unchanged, which is 3.
•  

C. Simplifying the Result:

• The doubled fraction, 8/3, can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.
•  
• In this case, the GCD of 8 and 3 is 1, so the fraction is already in its simplest form.
•  

D. Converting Back to a Mixed Number:

• To express the result as a mixed number, we divide the numerator (8) by the denominator (3).
•  
• The quotient is 2, which represents the whole number part, and the remainder is 2.
•  

III. Result of Doubling 1 1/3:

Doubling the value of 1 1/3 yields the result of 2 2/3.

IV. Comparison to Original Value:

Let's compare the original value of 1 1/3 with its doubled value, 2 2/3, to understand the increase.

A. Numerical Comparison:

• The original value, 1 1/3, is less than its doubled value, 2 2/3.
•  
• Doubling the value has resulted in an increase of 1 whole unit and 2/3 of another unit.
•  

B. Visual Representation:

• Representing the original value of 1 1/3 and its doubled value, 2 2/3, on a number line visually demonstrates the increase.

Comparing Unlike Denominators

Doubling the value of 1 1/3 involves converting the mixed number to an improper fraction, doubling the fraction, simplifying if necessary, and converting back to a mixed number if desired. The result of doubling 1 1/3 is 2 2/3. Understanding the process of doubling fractions allows us to perform similar calculations and gain a deeper comprehension of mathematical concepts. So, the next time you encounter the task of doubling a value like 1 1/3, you can confidently apply the steps outlined in this article to obtain the correct result.