What is 1 1/2 x 3 1/2 x 7?
This problem involves multiplying mixed numbers. Here's a step-by-step solution:
1. Convert mixed numbers to fractions:
- 1 1/2 is the same as (1 x 2 + 1) / 2 = 3/2
- 3 1/2 is the same as (3 x 2 + 1) / 2 = 7/2
2. Multiply the fractions:
(3/2) x (7/2) x 7 = (3 x 7 x 7) / (2 x 2 x 1) = 147 / 4
3. Simplify the result (if possible):
The fraction 147/4 is an improper fraction (numerator is greater than the denominator). To convert it to a mixed number, divide 147 by 4:
- 147 divided by 4 equals 36 with a remainder of 3.
Therefore, the final answer is 36 3/4.
Conclusion:
1 1/2 x 3 1/2 x 7 = 36 3/4.