Multiplying Mixed Numbers: 1 1/2 x 1 1/2 x 1 1/2
Let's figure out what happens when we multiply 1 1/2 by itself three times. Here's how to solve it in fraction form:
1. Convert mixed numbers to improper fractions:
- 1 1/2 = (1 x 2 + 1) / 2 = 3/2
2. Multiply the fractions:
- (3/2) x (3/2) x (3/2) = (3 x 3 x 3) / (2 x 2 x 2)
3. Simplify:
- (27/8)
4. Convert back to a mixed number (optional):
- 27/8 = 3 3/8
Therefore, 1 1/2 times 1 1/2 times 1 1/2 is equal to 27/8 or 3 3/8.