Let's Multiply Mixed Numbers!
This article will explore how to calculate 1 1/2 times 1 1/2 times 2.
Converting Mixed Numbers to Fractions
First, we need to convert the mixed numbers (1 1/2) into improper fractions. To do this, multiply the whole number by the denominator of the fraction and add the numerator. Keep the same denominator:
- 1 1/2 = (1 * 2 + 1) / 2 = 3/2
Now our problem looks like this: (3/2) * (3/2) * 2
Multiplying Fractions
To multiply fractions, multiply the numerators together and the denominators together:
- (3 * 3 * 2) / (2 * 2 * 1) = 18 / 4
Simplifying the Fraction
The fraction 18/4 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:
- 18/4 = 9/2
Converting Back to a Mixed Number
Finally, we can convert the improper fraction 9/2 back into a mixed number:
- 9/2 = 4 1/2
Therefore, 1 1/2 times 1 1/2 times 2 equals 4 1/2.