** Multiplication of Mixed Numbers: 2 1/4 times 3/4 times 1 1/4 **
In this article, we will learn how to multiply mixed numbers. Specifically, we will calculate the product of 2 1/4, 3/4, and 1 1/4.
Converting Mixed Numbers to Improper Fractions
Before we start multiplying, it's essential to convert the mixed numbers to improper fractions. Here's how to do it:
- 2 1/4 = (2 × 4 + 1) / 4 = 9/4
- 3/4 = 3/4 (already an improper fraction)
- 1 1/4 = (1 × 4 + 1) / 4 = 5/4
Multiplying the Improper Fractions
Now that we have the improper fractions, we can multiply them:
(9/4) × (3/4) = ?
To multiply fractions, we multiply the numerators (9 and 3) and multiply the denominators (4 and 4), then simplify the fraction:
(9 × 3) / (4 × 4) = 27/16
(27/16) × (5/4) = ?
Again, we multiply the numerators (27 and 5) and multiply the denominators (16 and 4), then simplify the fraction:
(27 × 5) / (16 × 4) = 135/64
The Final Answer
Therefore, the product of 2 1/4, 3/4, and 1 1/4 is:
2 1/4 × 3/4 × 1 1/4 = 135/64
To convert this improper fraction back to a mixed number, we can divide the numerator by the denominator:
135 ÷ 64 = 2 7/64
So, the final answer is 2 7/64.
