What’s the Product of 3 2/3 and 14 2/5?
Calculating Mixed Numbers
When dealing with mixed numbers, it’s essential to understand the concept of converting them into improper fractions. A mixed number is a combination of a whole number and a fraction. In this article, we’ll explore the product of 3 2/3 and 14 2/5, and provide a direct answer to this question.
Understanding Mixed Numbers
A mixed number is represented as a combination of a whole number and a fraction. The fraction is written over the line, and the whole number is written below the line. For example, 3 2/3 can be written as 3 + 2/3.
Converting Mixed Numbers to Improper Fractions
To convert a mixed number to an improper fraction, we need to multiply the whole number by the denominator and then add the numerator. The result is the numerator of the improper fraction.
| Mixed Number | Conversion to Improper Fraction |
|---|---|
| 3 2/3 | 3 × 3 + 2 = 11 |
| 14 2/5 | 14 × 5 + 2 = 72 |
Calculating the Product
Now that we have converted the mixed numbers to improper fractions, we can calculate their product.
| Product | Calculation |
|---|---|
| 3 2/3 × 14 2/5 | (3 × 3 + 2) × (14 × 5 + 2) |
| = 11 × 72 | = 792 |
The Direct Answer
The product of 3 2/3 and 14 2/5 is 792.
Important Points to Remember
- When converting mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator.
- The result is the numerator of the improper fraction.
- To calculate the product, we multiply the numerators and denominators separately.
- The product of two fractions is the product of the numerators divided by the product of the denominators.
Real-World Applications
Understanding the concept of mixed numbers and converting them to improper fractions is essential in various real-world applications, such as:
- Cooking and Baking: When cooking and baking, it’s essential to convert mixed numbers to improper fractions to ensure accurate calculations.
- Science and Engineering: In scientific and engineering applications, mixed numbers are often used to represent quantities in terms of fractions.
- Finance and Accounting: In finance and accounting, mixed numbers are used to represent investments, loans, and other financial transactions.
Conclusion
In conclusion, the product of 3 2/3 and 14 2/5 is 792. By understanding the concept of mixed numbers and converting them to improper fractions, we can accurately calculate their product. This article has provided a direct answer to the question, and highlighted the importance of mixed numbers in various real-world applications.
Table: Converting Mixed Numbers to Improper Fractions
| Mixed Number | Conversion to Improper Fraction |
|---|---|
| 3 2/3 | 3 × 3 + 2 = 11 |
| 14 2/5 | 14 × 5 + 2 = 72 |
| 3 2/3 × 14 2/5 | (3 × 3 + 2) × (14 × 5 + 2) |