Calculating 2 2/3 x 3 1/4 as a Mixed Number
In this article, we will explore how to multiply two mixed numbers, specifically 2 2/3 and 3 1/4. We will breakthrough the calculation step by step and provide the result as a mixed number.
The Given Mixed Numbers
- 2 2/3
- 3 1/4
Converting Mixed Numbers to Improper Fractions
Before we can multiply the mixed numbers, we need to convert them into improper fractions.
- 2 2/3 = (2 × 3 + 2) / 3 = 8/3
- 3 1/4 = (3 × 4 + 1) / 4 = 13/4
Multiplying the Improper Fractions
Now that we have the improper fractions, we can multiply them:
- 8/3 × 13/4 = (8 × 13) / (3 × 4) = 104/12
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 104 and 12.
- GCD (104, 12) = 4
- 104 ÷ 4 = 26
- 12 ÷ 4 = 3
So, the simplified fraction is:
- 26/3
Converting the Simplified Fraction Back to a Mixed Number
Finally, we can convert the simplified fraction back to a mixed number:
- 26/3 = 8 2/3
The Result
Therefore, the result of multiplying 2 2/3 and 3 1/4 is:
- 8 2/3
There you have it! We have successfully calculated the product of two mixed numbers as a mixed number.
