Multiplying Mixed Numbers: 1 1/2 x 1 1/2 x 1 1/2
This article will guide you through the process of multiplying the mixed number 1 1/2 by itself three times, resulting in a fraction.
Converting Mixed Numbers to Fractions
Before multiplying, convert the mixed number 1 1/2 into a fraction:
- Multiply the whole number by the denominator: 1 x 2 = 2
- Add the numerator: 2 + 1 = 3
- Keep the denominator: 3/2
Now, we need to multiply 3/2 by itself three times:
(3/2) x (3/2) x (3/2)
Multiplying Fractions
To multiply fractions, we multiply the numerators and the denominators:
(3 x 3 x 3) / (2 x 2 x 2) = 27/8
Converting Back to Mixed Number
The fraction 27/8 is an improper fraction because the numerator is larger than the denominator. To convert it into a mixed number:
- Divide the numerator by the denominator: 27 / 8 = 3 with a remainder of 3
- The quotient becomes the whole number: 3
- The remainder becomes the numerator, and the denominator stays the same: 3/8
Therefore, 1 1/2 x 1 1/2 x 1 1/2 is equal to 3 3/8.