1 1 3 Times 2 In Fraction Form With Whole Numbers

3 min read Jun 17, 2024
1 1 3 Times 2 In Fraction Form With Whole Numbers

1 1/3 Times 2: A Step-by-Step Guide

This article will guide you through the process of multiplying the mixed number 1 1/3 by 2. We will break down the steps and express the final answer as a mixed number with a whole number.

1. Converting to an Improper Fraction

The first step is to convert the mixed number 1 1/3 into an improper fraction. We can do this by:

  • Multiplying the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
  • Adding the numerator of the fraction (1) to the result: 3 + 1 = 4
  • Keeping the same denominator: 4/3

Therefore, 1 1/3 is equivalent to 4/3.

2. Multiplying Fractions

Now we have the following multiplication:

4/3 * 2/1

To multiply fractions, we multiply the numerators and the denominators:

(4 * 2) / (3 * 1) = 8/3

3. Converting Back to a Mixed Number

Finally, we need to convert the improper fraction 8/3 back into a mixed number.

  • Divide the numerator (8) by the denominator (3): 8 ÷ 3 = 2 with a remainder of 2
  • The quotient (2) becomes the whole number of the mixed number
  • The remainder (2) becomes the numerator of the fraction
  • The denominator remains the same (3)

Therefore, 8/3 is equivalent to 2 2/3.

Conclusion

In conclusion, 1 1/3 times 2 is equal to 2 2/3. By converting the mixed number into an improper fraction, multiplying the fractions, and then converting back to a mixed number, we can successfully solve this problem.

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