Multiplying Mixed Numbers: 1 1/2 x 2 1/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/2 and 2 1/4, resulting in a single fraction.
Converting Mixed Numbers to Fractions
Before multiplying mixed numbers, we need to convert them into improper fractions.

1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 becomes 3/2.

2 1/4: Multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us 9. Keep the same denominator (4). So, 2 1/4 becomes 9/4.
Multiplying Fractions
Now that we have our improper fractions, we can multiply them:
(3/2) * (9/4) = (3 * 9) / (2 * 4) = 27/8
Simplifying the Result
The fraction 27/8 is an improper fraction because the numerator is larger than the denominator. We can simplify it by converting it back to a mixed number:
 Divide the numerator (27) by the denominator (8): 27 / 8 = 3 with a remainder of 3.
 The quotient (3) becomes the whole number part of the mixed number.
 The remainder (3) becomes the numerator of the fraction.
 The denominator (8) stays the same.
Therefore, 27/8 is equivalent to 3 3/8.
Conclusion
The product of 1 1/2 and 2 1/4, expressed as a single fraction, is 3 3/8.