Multiplying Mixed Numbers: 1 1/4 x 1 1/2
This article will guide you through the process of multiplying the mixed numbers 1 1/4 and 1 1/2.
Understanding Mixed Numbers
Mixed numbers combine a whole number with a fraction. To multiply mixed numbers, we need to convert them into improper fractions.
1. Convert Mixed Numbers to Improper Fractions

1 1/4: Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4. Add the numerator of the fraction (1): 4 + 1 = 5. Keep the same denominator (4). Therefore, 1 1/4 is equivalent to 5/4.

1 1/2: Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2. Add the numerator of the fraction (1): 2 + 1 = 3. Keep the same denominator (2). Therefore, 1 1/2 is equivalent to 3/2.
Multiplying the Improper Fractions
Now that we have improper fractions, we can multiply them:
 (5/4) * (3/2)
To multiply fractions, we multiply the numerators and the denominators:
 (5 * 3) / (4 * 2) = 15/8
Simplifying the Result
The result, 15/8, is an improper fraction. Let's convert it back to a mixed number:
 Divide the numerator (15) by the denominator (8): 15 ÷ 8 = 1 with a remainder of 7.
 The whole number of the mixed number is the quotient (1).
 The numerator of the fractional part is the remainder (7).
 The denominator remains the same (8).
Therefore, 15/8 is equivalent to 1 7/8.
Conclusion
The product of 1 1/4 and 1 1/2 is 1 7/8. Remember, multiplying mixed numbers involves converting them to improper fractions, multiplying the fractions, and then simplifying the result.