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

1 1/4: Multiply the whole number (1) by the denominator of the fraction (4), and add the numerator (1). This gives us 5. Keep the same denominator (4). So, 1 1/4 becomes 5/4.

2 1/2: Multiply the whole number (2) by the denominator of the fraction (2), and add the numerator (1). This gives us 5. Keep the same denominator (2). So, 2 1/2 becomes 5/2.
Multiplying Fractions
Now, we simply multiply the numerators and the denominators:
(5/4) * (5/2) = (5 * 5) / (4 * 2) = 25/8
Simplifying the Answer
The fraction 25/8 is an improper fraction (the numerator is larger than the denominator). To simplify it into a mixed number:
 Divide the numerator (25) by the denominator (8). The result is 3 with a remainder of 1.
 The quotient (3) becomes the whole number part of the mixed number.
 The remainder (1) becomes the numerator of the fraction. The denominator remains the same (8).
Therefore, 25/8 simplifies to 3 1/8.
Conclusion
So, 1 1/4 times 2 1/2 is equal to 3 1/8. By converting mixed numbers to improper fractions and multiplying them, we can easily perform this calculation.