5 2/7 Times 1 7/9: A Step-by-Step Guide to Multiplying Mixed Numbers
Introduction
Multiplying mixed numbers can be a bit challenging, but with the right approach, it can be a breeze. In this article, we will explore how to multiply 5 2/7 and 1 7/9, and provide a step-by-step guide to help you understand the process.
What are Mixed Numbers?
Before we dive into the multiplication process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 5 2/7 is a mixed number, where 5 is the whole number and 2/7 is the fraction.
How to Multiply 5 2/7 and 1 7/9
To multiply 5 2/7 and 1 7/9, we need to follow these steps:
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
5 2/7 = (5 * 7 + 2) / 7 = 37 / 7
1 7/9 = (1 * 9 + 7) / 9 = 16 / 9
Step 2: Multiply the Numerators
Next, we need to multiply the numerators (the numbers on top) of both fractions:
37 * 16 = 592
Step 3: Multiply the Denominators
Now, we need to multiply the denominators (the numbers at the bottom) of both fractions:
7 * 9 = 63
Step 4: Write the Product as a Mixed Number
Finally, we can write the product as a mixed number:
592 / 63 = 9 13/63
Answer
Therefore, 5 2/7 times 1 7/9 is equal to 9 13/63.
Conclusion
Multiplying mixed numbers can be a bit tricky, but by following these steps, you can easily multiply 5 2/7 and 1 7/9. Remember to convert mixed numbers to improper fractions, multiply the numerators and denominators, and write the product as a mixed number. With practice, you'll become a pro at multiplying mixed numbers in no time!
