Multiplying Mixed Numbers: A StepbyStep Guide
This article will guide you through calculating the product of 1 1/2 x 3 1/2 x 6. We'll break down the steps to make it easy to understand.
Converting Mixed Numbers to Fractions
The first step is to convert the mixed numbers into improper fractions. Remember that a mixed number is a combination of a whole number and a fraction.

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

3 1/2: Similarly, multiply the whole number (3) by the denominator (2) and add the numerator (1). Keep the same denominator. This gives us 7/2.
Multiplying Fractions
Now we have the problem: 3/2 x 7/2 x 6. To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers).
 Numerators: 3 x 7 x 6 = 126
 Denominators: 2 x 2 x 1 = 4
This gives us the fraction 126/4.
Simplifying the Answer
The fraction 126/4 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2.
 126 ÷ 2 = 63
 4 ÷ 2 = 2
This gives us the simplified fraction 63/2.
Converting Back to a Mixed Number
Finally, we can convert the improper fraction back to a mixed number. Divide the numerator (63) by the denominator (2).
 63 ÷ 2 = 31 with a remainder of 1
This means that 63/2 is equivalent to 31 1/2.
Conclusion
Therefore, 1 1/2 x 3 1/2 x 6 = 31 1/2.