Multiplying Mixed Numbers: Finding 1 1/2 x 3 1/2
This article will guide you through the process of multiplying mixed numbers, using the example of 1 1/2 x 3 1/2.
Step 1: Convert Mixed Numbers to Improper Fractions

1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives you 3. Keep the same denominator (2). So, 1 1/2 is equivalent to 3/2.

3 1/2: Multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives you 7. Keep the same denominator (2). So, 3 1/2 is equivalent to 7/2.
Step 2: Multiply the Fractions
Now we have: (3/2) x (7/2)
To multiply fractions, simply multiply the numerators and the denominators:
(3 x 7) / (2 x 2) = 21/4
Step 3: Convert the Improper Fraction to a Mixed Number (Optional)
The improper fraction 21/4 can be converted back to a mixed number:

Divide the numerator (21) by the denominator (4): 21 / 4 = 5 with a remainder of 1.

The quotient (5) becomes the whole number part of the mixed number.

The remainder (1) becomes the numerator of the fraction.

The denominator stays the same (4).
Therefore, 21/4 is equivalent to 5 1/4.
Conclusion
Therefore, 1 1/2 times 3 1/2 is equal to 21/4 or 5 1/4.