Multiplication of Fractions: 10 1/4 x 9 1/8
In this article, we will explore the multiplication of fractions, specifically the problem 10 1/4 x 9 1/8. We will break down the steps to solve this problem and provide a clear explanation of the process.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
10 1/4 = 41/4 (convert 10 to an improper fraction and add 1/4) 9 1/8 = 73/8 (convert 9 to an improper fraction and add 1/8)
Step 2: Multiply the Fractions
Now, we can multiply the fractions:
(41/4) × (73/8) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), then simplify the fraction.
Step 3: Simplify the Fraction
(41 × 73) / (4 × 8) = 2993 / 32
The result of the multiplication is 2993/32. This is an improper fraction, which means the numerator is greater than the denominator.
Conclusion
In conclusion, the result of multiplying 10 1/4 and 9 1/8 is 2993/32. This process involves converting mixed numbers to improper fractions, multiplying the fractions, and simplifying the result.
