Multiplying Mixed Numbers: 1 1/2 x 3 x 1 1/9
This article will guide you through the process of multiplying mixed numbers, focusing on the example of 1 1/2 x 3 x 1 1/9.
Converting Mixed Numbers to Fractions
The first step is to convert each mixed number into an improper fraction. Here's how:
- 1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator. (1 x 2 + 1) / 2 = 3/2
- 1 1/9: Multiply the whole number (1) by the denominator (9) and add the numerator (1). Keep the same denominator. (1 x 9 + 1) / 9 = 10/9
Now our problem becomes: 3/2 x 3 x 10/9
Multiplying Fractions
To multiply fractions, we multiply the numerators together and the denominators together.
- Numerators: 3 x 3 x 10 = 90
- Denominators: 2 x 1 x 9 = 18
Our result is 90/18.
Simplifying the Fraction
The fraction 90/18 can be simplified by finding the greatest common factor (GCF) of 90 and 18, which is 18.
- 90 / 18 = 5
- 18 / 18 = 1
Therefore, the simplified fraction is 5/1.
Final Answer
The final answer to the multiplication problem 1 1/2 x 3 x 1 1/9 is 5.