Multiplying Mixed Numbers: 1 1/2 x 1 1/3
This article will guide you through the process of multiplying the mixed numbers 1 1/2 and 1 1/3.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction. For example, 1 1/2 represents one whole and one half.
Converting to Improper Fractions
The first step is to convert the mixed numbers into improper fractions. This makes multiplication easier:
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1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 becomes 3/2.
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1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. Keep the same denominator (3). So, 1 1/3 becomes 4/3.
Multiplication
Now, multiply the two improper fractions:
(3/2) x (4/3)
- Multiply the numerators: 3 x 4 = 12
- Multiply the denominators: 2 x 3 = 6
- The result is: 12/6
Simplifying the Fraction
The fraction 12/6 can be simplified. Both the numerator and denominator are divisible by 6:
12/6 = 2
Conclusion
Therefore, 1 1/2 x 1 1/3 is equal to 2.