Multiplying Mixed Numbers: 1 1/2 x 3 1/2 x 7
This article will guide you through multiplying the mixed numbers 1 1/2, 3 1/2, and 7.
Converting Mixed Numbers to Fractions
Before multiplying, we need to convert the mixed numbers into improper fractions:
- 1 1/2: (1 x 2) + 1 = 3, so 1 1/2 is equivalent to 3/2.
- 3 1/2: (3 x 2) + 1 = 7, so 3 1/2 is equivalent to 7/2.
Multiplying Fractions
Now, we can multiply the fractions:
(3/2) x (7/2) x 7 = (3 x 7 x 7) / (2 x 2 x 1) = 147/4
Converting Back to a Mixed Number
Finally, we convert the improper fraction back to a mixed number:
147 / 4 = 36 3/4
Therefore, 1 1/2 x 3 1/2 x 7 is equal to 36 3/4.