Calculating 1 2/3 Times 2 in Fraction Form
This article will guide you through the steps of multiplying the mixed number 1 2/3 by 2, and expressing the answer in fraction form.
Converting the Mixed Number to a Fraction
First, we need to convert the mixed number 1 2/3 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 5, which becomes the new numerator. The denominator remains the same:
1 2/3 = (1 * 3 + 2) / 3 = 5/3
Multiplying the Fractions
Now we can multiply our improper fraction (5/3) by 2. Remember that a whole number can be written as a fraction with a denominator of 1:
(5/3) * 2 = (5/3) * (2/1)
To multiply fractions, we multiply the numerators and the denominators:
(5/3) * (2/1) = (5 * 2) / (3 * 1) = 10/3
Simplifying the Result
The fraction 10/3 is an improper fraction because the numerator is larger than the denominator. We can simplify it into a mixed number:
10/3 = 3 1/3
Final Answer
Therefore, 1 2/3 times 2 is equal to 3 1/3 in fraction form.